Given two vectors i - j and i +2 j . The unit vector coplanar with the two vectors and…
Mathematics · JEE Main · NTA Exams — Vector Algebra
Given two vectors \(\hat{i}-\hat{j}\) and \(\hat{i}+2 \hat{j}\). The unit vector coplanar with the two vectors and perpendicular to first is :
- \(\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\)
- \(\frac{1}{\sqrt{5}}(2 \hat{i}+\hat{j})\)
- \(\pm \frac{1}{\sqrt{2}}(\hat{i}+\hat{k})\)
- None of these
Answer
(A) 1 2 ( i + j )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The magnitude of the projection of the vector 2 i +3 j + k on the vector perpendicular to the plane…
- If a =( -2) a + b and =(4 -2) a +3 b be two given vectors where vectors B and b are non-collinear. The value…
- Consider points A, B, C and D with position vectors 7 i -4 j +7 k , i -6 j +10 k , - i -3 j +4 k and i - j +…
- Two vectors a = i + j 3 b = i 3 + j are
- If a , b , c are unit vectors such that a ~b =0= a c and the angle between b and c is 3 . Then the value of |…
- The vector i +x j +3 k is rotated through an angle θ and doubled in magnitude, then it becomes 4 i +(4 x-2) j…
- If a and b are unit vectors, then the greatest value of | a + b |+| a - b | is
- Let A , E and C be unit vectors. Suppose A B = A C =0 and the angle between E and 屯 is 4 . Then :
More Vector Algebra questions · Browse all practice questions