Question

Which of the following vector is parallel to the vector 2i^ +3j^ _8k

Answer 1

The unit vector perpendicular to both the vectors a ,b is ∣a ×b ∣a ×b =192 19(j^+k^)=2 j^+k^. They can not be parallel. For them to be parallel the coefficients of i^,j^i^,j^ and k^k^ must be proportional. 23=3−a=−4123=3−a=−41which is impossible. The vector perpendicular to the given vector is 3i + 4j.  According to the question, the component of vector A is to be found along direction of i- j, which is found by finding the unit vector of A along the same. So, the component along the i- j will be the multiplication product of vector A and unit vector a.