MCQs of Vector Algebra

Showing 21 to 30 out of 111 Questions

21.

I f v e c t o s \bar{a} = 2 \overset{Λ}{i} + \overset{Λ}{j} - \overset{Λ}{k} a n d \bar{b} a r c o l l i n e a r a n d \bar{a} \cdot \bar{b} = 3 t h e n \bar{b} =_____

22.

F o r A (\frac{1}{2}, 0, \frac{1}{2}) a n d B (\frac{1}{2}, - 1, - \frac{1}{2}), d i r e c t i o n a n g l e s o f \overset{___}{A B} i s______

23.

F o n o n - z e r o u n i t v e c t o r s \bar{x} a n d \bar{y} i f 2 (\bar{x} \cdot \bar{y}) = |\bar{x}| |\bar{y}| t h e n (\bar{x} \overset{Λ}{} \bar{y}) = ?

24.

I f |\bar{a} + \bar{b}| = |\bar{a} - \bar{b}| t h e n v e c t o r \bar{a} a n d \bar{b}

25.

I f {|\bar{a} + \bar{b}|}^{2} = {|\bar{a}|}^{2} + {|\bar{b}|}^{2} t h e n

26.

I f \bar{a} = \overset{\land}{i} + \overset{\land}{j} + \overset{\land}{k}, \bar{b} = \overset{\land}{i} - \overset{\land}{j} + \overset{\land}{k} a n d \bar{c} i s u n i t v e c t o r p e r p e n d i c u l a r t o \bar{a} a n d \bar{b}, t h e n u n i t v e c t o r t o b o t h \bar{a} a n d \bar{c} i s_____

(a)	$\frac{1}{\sqrt{6}} (2 \overset{\land}{i} - \overset{\land}{j} + \overset{\land}{k})$
(b)	$\frac{1}{\sqrt{2}} (\overset{\land}{i} + \overset{\land}{j})$
(c)	$\frac{1}{\sqrt{2}} (\overset{\land}{j} + \overset{\land}{k})$
(d)	$\frac{1}{\sqrt{2}} (\overset{\land}{i} + \overset{\land}{k})$

27.

I f \bar{a} = \overset{\land}{i} - \overset{\land}{j} + \overset{\land}{k}, \bar{a} \cdot \bar{b} = 0, \bar{a} \times \bar{b} = \bar{c} w h e r e e \bar{c} = - 2 \overset{\land}{i} - \overset{\land}{j} + \overset{\land}{k} t h e n b =_____

28.

D i r e c t i o n r a t i o s o f \bar{x} = 2 \overset{\land}{i} - \overset{\land}{j} + 2 \overset{\land}{k} a r e______

29.

\overset{}{W h a t w i l l b e t h e p r o j e c t i o n v e c t o r o f \bar{a} = (1, 1, 1) o n v e c t o r \bar{b} = (2, 2, 1) ?}

30.

I f a n g l e b e t w e e n \bar{a} a n d \bar{b} i s \frac{5 π}{6} a n d m a g n i t u d e o f p r o j e c t i o n o f \bar{a} o n \bar{b} i s \frac{6}{\sqrt{3}} t h e n |\bar{a}| =_____

Showing 21 to 30 out of 111 Questions