MCQs of Vector Algebra

Showing 121 to 130 out of 194 Questions

121.

Which of the following is a unit vector?

122.

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

123.

|\bar{a}|

= 5,

|\bar{b}|

= 3 and

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

= 4 then

\bar{a} . \bar{b}

= _____ .

124.

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

125.

The direction cosines of a vector

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

are _____ .

126.

|\bar{a}|

= 10,

|\bar{b}|

= 2 and

\bar{a} . \bar{b}

= 12, then

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

= _____ .

127.

(\bar{a} \times \bar{b}) . (\bar{c} \times \bar{d})

= _____ .

(a)	$\|\begin{matrix} \bar{b} . \bar{c} & \bar{b} . \bar{d} \\ \bar{a} . \bar{c} & \bar{a} . \bar{d} \end{matrix}\|$
(b)	$\|\begin{matrix} \bar{a} . \bar{c} & \bar{a} . \bar{d} \\ \bar{b} . \bar{c} & \bar{b} . \bar{d} \end{matrix}\|$
(c)	$\|\begin{matrix} \bar{a} . \bar{d} & \bar{a} . \bar{c} \\ \bar{b} . \bar{d} & \bar{b} . \bar{c} \end{matrix}\|$
(d)	$\|\begin{matrix} \bar{b} . \bar{d} & \bar{b} . \bar{c} \\ \bar{a} . \bar{d} & \bar{a} . \bar{c} \end{matrix}\|$

128.

(\bar{x} - \bar{y}) \times (\bar{x} + \bar{y})

= _____ .

129.

The direction cosines of the vector

\bar{x}

= (3, 0, -4) are _____ .

130.

The directions of the vectors (1, 3, 1) and (2, 6, -2) are _____ .

Showing 121 to 130 out of 194 Questions