Assertion : Let a , ~b , c and d are position vectors of four points A, B, C and D and 3…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
Assertion : Let \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}}, \overrightarrow{\mathrm{c}}\) and \(\overrightarrow{\mathrm{d}}\) are position vectors of four points A, B, C and D and \(3 \overrightarrow{\mathrm{a}}-2 \overrightarrow{\mathrm{~b}}+5 \overrightarrow{\mathrm{c}}-6 \overrightarrow{\mathrm{~d}}=\overrightarrow{0},\) then points A, B, C and D are coplanar.
Reason : Three non zero, linearly dependent co–initial vectors \((\overrightarrow{\mathrm{PQ}}, \overrightarrow{\mathrm{PR}} \text { and } \overrightarrow{\mathrm{PS}})\) are coplanar.
Reason : Three non zero, linearly dependent co–initial vectors \((\overrightarrow{\mathrm{PQ}}, \overrightarrow{\mathrm{PR}} \text { and } \overrightarrow{\mathrm{PS}})\) are coplanar.
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but and reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
- If assertion and reason are both false.
Answer
(B) If both assertion and reason are true but and reason is not the correct explanation of assertion.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If a b are unit vectors such that ( a + b ) (2 a +3 b ) (3 a -2 b )=0 then angle between a and b
- If a +2 b +3 c = o , then a b + b c + c a is equal to
- A line with positive direction cosines passes through the point P (2, –1, 2) and makes equal angles with the…
- Equation of plane which passes through the point of intersection of lines x-1 3 = y-2 1 = z-3 2 and x-3 1 =…
- Let a 1 x + b 1 y + c 1 z + d 1 = 0 and a 2 x + b 2 y + c 2 z + d 2 = 0 be two planes, where d 1 , d 2 > 0 …
- Let L 1 be the line of intersection of the planes given by the equations 2 x +3 y + z = 4 and x +2 y + z = 5…
- If A 1 , A 2 , A 3 , ......, A n are the vertices of a regular plane polygon with n sides & O is its centre…
- Let P (3, 2, 6) be a point in space and Q be a point on the line r =( i - j +2 k )+ (-3 i + j +5 k ) . Then…
More Three Dimensional Geometry questions · Browse all practice questions