MCQs of Vector Algebra

Showing 41 to 50 out of 111 Questions

41.

_____ is not a unit vector

(α \neq \frac{n π}{2}, n \in Z)

42.

\bar{x} = (a, 8, 3 a) a n d \bar{y} = (3 a, - 3, a)

are perpendicular to each other, then a = _____.

43.

If \bar{x} = (2, 3, 3), \bar{y} = (- 2, - 3, k), k \neq - 3, then |\bar{x} \cdot \bar{y}|

_____

|\bar{x}| |\bar{y}|

44.

The area of the parallelogram whose adjacent sides are

\hat{i} + \hat{j} + \hat{k} a n d \hat{i} - \hat{j} + \hat{k}

is _____.

45.

_____ is not unit vector

(α \neq \frac{n π}{2}, n \in Z)

46.

\bar{x}

= (a, 8, 3a) and

\bar{y}

= (3a, -3, a) are perpendicular to each other, then a = _____ .

47.

\bar{x}

= (2, 3, 3),

\bar{y}

= (-2, -3, k), k ≠ -3, then

|\bar{x} . \bar{y}|

_____

|\bar{x}| \bar{|y|}

48.

The area of the parallelogram whose adjacent sides are

\hat{i} + \hat{j} + \hat{k}

and

\hat{i} - \hat{j} + \hat{k}

is _____ .

49.

A (4, -2), B (5, 2) and C (1, 4), then m∠A = _____ .

50.

\bar{a} + \bar{b} + \bar{c} = \bar{0}

and

|\bar{a}| = 3

|\bar{b}| = 5

|\bar{c}| = 7

, then the measure of the angle between

\bar{a}

and

\bar{b}

is _____ .

Showing 41 to 50 out of 111 Questions