MCQs of Vector Algebra

Showing 1 to 10 out of 194 Questions

If x̄ = (-2, 1, -2), then a unit vector in the direction of x̄ is _____

_____is not a unit vector . (α \neq \frac{nπ}{2}, n \in Z)

\bar{x} \times \bar{y} = (7, 2, - 3), then \bar{y} \times \bar{x} =_____

|x| = |y| = 1, \bar{x} ⊥ \bar{y}, |\bar{x} + \bar{y}| =_____.

If \bar{x} = 3 \bar{y}, then \bar{x} \times \bar{y} =____

\bar{x} = (2, 3), \bar{y} = (5, - 2) are_____vectors .

If \bar{x} = (a, 4, 2 a) and \bar{y} = (2 a, - 1, a) are perpendicular to each other, then a =______

(a, 1, -2), (1, 1, 3), (8, 5, 0) are coplanar then a = ______

If \bar{x} = (3, 1, 0), \bar{y} = (2, 2, 3), \bar{z} = (- 1, 2, 1) and \bar{x} ⊥ (\bar{y} + k \bar{z}), then k =_____

10.

If \bar{x} = (1, 2, 4), \bar{y} = (- 1, - 2, k), k \neq - 4, then |\bar{x} \cdot \bar{y}|_____|\bar{x}| |\bar{y}| .

Showing 1 to 10 out of 194 Questions