BASIC MATHEMATICS AND VECTOR — practice questions
95 curated practice questions from BASIC MATHEMATICS AND VECTOR (Physics NEET, NTA Exams) — 74 easy, 15 medium, 6 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.
- Which of the following statement is true [J & K CET 2006]
- If two vectors P = +2 m j +m k and are perpendicular to each other. Then, the value of m will be [ JEE (Main) 2023]
- Two forces are such that the sum of their magnitude is 18 N and their resultant is 12 N which is perpendicular to the…
- A particle has displacement of 12 m towards east and 5 m towards north then 6 m vertically upward. The sum of these…
- Three forces acting on a body are shown in the figure. To have the resultant force only along the y -direction, the…
- If A B = B A , then the angle between A and B is [AIEEE 2004; JEE (Main) 2021]
- Find the position vector AB for the pairs of points A(9,3,-2) and E(1,3,-4) .
- If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between…
- The angle between vector and is [JEE (Main) 2021]
- In a plant, black seed color (BB/Bb) is dominant over white seed color (bb). In order to find out the genotype of the…
- Two forces of 12 N and 8 N act upon a body. The resultant force on the body has maximum value of [Manipal 2003; RPMT…
- Two vectors and have components and respectively. If then [Odisha JEE 2010]
- In an octagon of equal side, what is the sum of A B + A C + A D + A E + A F + A G + A H if, A O =2 +3 -4 k [JEE (Main)…
- A force k =(5 +3 +2 k ) N is applied on a particle which displaces it from the origin to a point r =(2 i - j ) m. The…
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- The magnitude of vector O A , O B and in the given figure are equal. The direction of O A + O B - O C with x -axis will…
- If a particle moves from point P (2,3,5) to point Q (3,4,5). Its displacement vector be [BHU 2006]
- Sickle cell anaemia allele though is harmfull, has not been eliminated because
- Among the following, the vector quantity is [Kerala PET 2012]
- Match list-I with list-II List-I List-II (A) C - A - B =0 (i) (B) A - C - B =0 (ii) (C) B - A - C =0 (iii) (D) A + B =…
- What is the value of linear velocity, if =3 i -4 j + k and [CBSE PMT 1999; CPMT 1999, 2001; Pb. PMT 2000; Pb. CET 2000]
- If | A B |= 3 A B _ 1 then the value of is [AIIMS 2000; CBSE PMT 2004; J & K CET 2008; Odisha JEE 2012]
- Assertion : If be the angle between and , then = A B A B Reason : is perpendicular to
- Vector has a magnitude of 5 units, lies in the xy -plane and points in a direction 120º from the direction of…
- The area of the parallelogram represented by the vectors A = 2 i + 3 and is [Kerala PMT 2006]
- If vectors A = t i + t j and B = t 2 i + t 2 j are functions of time, then the value of t at which they are orthogonal…
- Two vectors are given by A - i +2 j +2 k and B =3 j +6 j +2 k Another vector has the same magnitude as but has the same…
- The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12 If the…
- Branch dealing with genetic engineering is [MP PMT 1993; BHU 2006]
- Assertion : Vector product of two vectors is an axial vector Reason : If = instantaneous velocity, = radius vector and…
- The resultant of two vectors and is If the magnitude of is doubled, the new resultant becomes perpendicular to Then the…
- A particle is displaced from a position [2 i - j + k ] to another position (3 i +2 j -2 k ) under the action of the…
- If r =4 i +3 j +8 k then find f ⋅ f .
- Determine a unit vector in the direction of AB where A =-2 i +3 j +6 k and B =4 i -2 j + k
- Which of the following statements correctly differentiate(s) sickle-cell anaemia and thalassemia? I. Sickle-cell…
- Let | A _ 1 |=3, | A _ 2 |=5 and | A _ 1 + A _ 2 |=5 . The value of (2 A _ 1 +3 A _ 2 ) (3 A _ 1 -2 A _ 2 ) is [JEE…
- Which of the following relations is true for two unit vectors and making an angle to each other [JEE (Main) 2022]
- The magnitudes of vectors and are 3, 4 and 5 units respectively. If A + B - C , the angle between and is [CPMT 1997…
- Three vectors and are shown in the figure. Let S be any point on the vector . The distance between the point P and S is…
- Two vectors and have equal magnitudes. If magnitude of is equal to two times the magnitude of , then the angle between…
- The initial and final position vectors for a particle are respectively (-3.0 ~m ) v +(2.0 ~m ) j +(8.0 ~m ) k and (9.0…
- The angle between vectors and is [WB-JEE 2009]
- If vectors 3 i -2 j + k and 3 i -6 j +6 k are perpendicular to each other then find the value of C.
- Two vectors A and B are such that A + B = A - B . Then [AMU (Med.) 2000]
- If the sum of two unit vectors is a unit vector, then magnitude of difference is [CPMT 1995; KCET 2004; Kerala PMT 2007]
- If and then the angle included between and is [WB-JEE 2010]
- The angle between the two vectors A =5 i +5 j and B =5 i -5 j will be [EAMCET 1995, 99; CPMT 2000; Pb. CET 2001]
- Find the cross product of the following vectors: A =2 i +3 j +8 k and E = i -2 j +6 k
- Assertion : is perpendicular to both as well as Reason : as well as lie in the plane containing and , but lies…
- If vector and B = f 2 j+ f 2 j are functions of time, then the value of t at which they are orthogonal to each other is…
- If A =4 i +9 j and E =3 i +2 j then find then value of A E
- a , b , c are three coplanar vectors. Find the resultant vector. i =5 i -2 j , ~b =-4 i +7 j , c =-2 j
- A cricket ball of mass 150 g has an initial velocity u =(3 i +4 j ) m / s and a final velocity v =-(3 i +4 j ) m / s …
- Six vectors, through have magnitudes and direction as indicated in the figure. Which of the following statements is…
- For the following set(s) of forces (in the same unit) the resultant can never be zero [WB-JEE 2016]
- The angle made by the vector A= i + j with x- axis is [EAMCET (Engg.) 1999; WB-JEE 2008]
- With respect to a rectangular cartesian coordinate system, three vectors are expressed as s =4 i - j , b =-3 i +2 j and…
- The value of is [RPET 2002; BHU 2002]
- Two forces 3 N and 2 N are at an angle such that the resultant is R . The first force is now increased to 6 N and the…
- A normal woman, whose father was a color blind person, is married to a normal man. Her sons would likely to be:
- The unit vector parallel to the resultant of the vectors A =4 j +3 j +6 k and is [BHU 1995; EAMCET 2000]
- Three forces acting on a body are shown in the figure To have the resultant force only along the y–direction, the…
- Vectors and are such that A * B =0 and A C =0 . Then the vector parallel to is [NEET (Karnataka) 2013]
- The vectors and are such that The angle between the two vectors is [CBSE PMT 2006; Odisha JEE 2010]
- Given below are two statements: Statement I : Thalassemia is autosomal recessive disease. Statement II : It is caused…
- is a vector with magnitude A , then the unit vector in the direction of is [J & K CET 2008]
- In the cube of side ‘ a ’ shown in the figure, the vector from the central point of the face ABOD to the central point…
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- The angle between the vectors and is The value of the triple product A ,( B A ) is [CBSE PMT 2005]
- When then [Odisha JEE 2003]
- Find the torque about the origin when a force 3 j ~N acts on a particle whose position vector is 2 k ~m .
- If a vector make angles , , and respectively with the X, Y and Z axes. Then [MP PET 2012]
- If for two vectors and , sum is perpendicular to the difference . The ratio of their magnitude is [CBSE PMT 2003; CPMT…
- If F =2 +3 -4 k and 5 =-2 i +8 j - k , then find angle between force and displacement.
- Which of the following animal is mostly used in genetics experiments?
- For vectors and making an angle which one of the following relations is correct [DCE 2009]
- At a particular locus, frequency of 'A' allele is 0.6 and that of 'a' allele is 0.4. What would be the frequency of…
- The components of the sum of two vectors 2 +3 / and along x and y directions respectively are [J & K CET 2010]
- If vectors -3 j +5 k and -3 j - k are equal vectors, then the value of a is [Kerala PMT 2011]
- What will be the projection of vector A = j + j + k on vector B = + j [JEE (Main) 2021]
- The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The…
- The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 unit respectively. If these…
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- Vector which is perpendicular to ( ) is [BHU 1997; J & K CET 2006]
- The vector projection of a vector on y -axis is [RPMT 2004]
- Which of the following processes does not involve convection of heat?
- Two vectors and add up to a vector When vector is made 3 times as long and vector is doubled in length, without…
- Forces and act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be…
- is a vector quantity such that = non zero constant. Which of the following expressions is true for [JEE (Main) 2022]
- Which one of the gene is present exclusively on the X-chromosome in humans?
- Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. STATEMENT - 1…
- The resultant of the two vectors having magnitude 2 and 3 is 1 What is their cross product
- Surface area is [J & K CET 2002]
- In a population, presence of a recessive trait is 16%. The frequency of dominant allele in population is:
- and are two vectors and is the angle between them, if | A B |= 3 ( A B ) the value of is [CBSE PMT 2007]