MCQs of Vector Algebra

Showing 61 to 70 out of 111 Questions

61.

Direction cosines of a vector are l = \frac{3}{5 \sqrt{2}}, m = \frac{4}{5 \sqrt{2}} and n then n =_____

62.

For any vector

\bar{r} {(\bar{r} . \hat{i})}^{2} + {(\bar{r} . \hat{j})}^{2} + {(\bar{r} . \hat{k})}^{2}

= _____ .

63.

\bar{u} = \bar{a} - \bar{b}

\bar{v} = \bar{a} + \bar{b}

and

|\bar{a}| = |\bar{b}| = 2

then

|\bar{u} \times \bar{v}|

= _____ .

64.

|(cosθ cosα, cosθ sinα, sinθ)|

= _____ .

65.

Which of the following is a unit vector?

66.

The unit vector perpendicular to both (2, 2, 1) and (3, 2, 2) is _____ .

67.

|\bar{a}|

= 5,

|\bar{b}|

= 3 and

|\bar{a}| - |\bar{b}|

= 4 then

\bar{a} . \bar{b}

= _____ .

68.

Unit vector perpendicular to (3, 4) in R² is _____ .

69.

The direction cosines of a vector

- 2 \hat{i} + 2 \hat{j} + \hat{k}

are _____ .

70.

|\bar{a}|

= 10,

|\bar{b}|

= 2 and

\bar{a} . \bar{b}

= 12, then

|\bar{a} \times \bar{b}|

= _____ .

Showing 61 to 70 out of 111 Questions