List of top Mathematics Questions on Vector Algebra asked in JKCET

If $ |\vec {a} |=7 $ and $ |\vec {b} |=11, $ then the angle between the vectors $\vec {a} +\vec {b} $ and $\vec {a} -\vec {b} $ is equal to

Given two vectors are $ \hat{i}-\hat{j} $ and $ \hat{i}+2\hat{j}, $ the unit vector is coplanar with the two vectors and perpendicular to the first. Find the vector?