MCQs of Vector Algebra

Showing 41 to 50 out of 194 Questions

41.

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 =_____

42.

I f i n n e r p r o d c t o f u n i t v e c t o r i n t h e d i r e c t i o n o f s u m o f 2 \overset{\land}{i} + 4 \overset{\land}{j} - 5 \overset{\land}{k} a n d b \overset{\land}{i} + 2 \overset{\land}{j} + 3 \overset{\land}{k} a n d (1, 1, 1) i s u n i t v e c t o r t h e n \bar{b} =______

43.

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______

44.

I n p a r a l l e \log r a m P Q R S, \vec{P Q} + \vec{P S} =_____

45.

\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) ?}

46.

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}| =_____

47.

W h a t w i l l b e t h e m a g n i t u d e o f t h e p r o j e c t i o n o f \overset{Λ}{i} + \overset{Λ}{j} + \overset{Λ}{k} o n v e c t o r \overset{Λ}{j} ?

48.

If vertices of tetrahedran V - ABC is V(4,5,1), A(0,-1,-1), B(1,2,3,), C(4,4,4) then what will be its volume?

49.

A p a r a l e l o p i p e d h a s o r i g i n a s i t s o n e v e r t e x a n d w h o s e d i a g o n a l s a r e \overset{—}{O A}, \overset{—}{O B} a n d \overset{—}{O C} w h e r e, A (4, 3, 1), B (3, 1, 2) a n d C (5, 2, 1) t h e n i t s v o l u m i s_____

50.

I f A (1, 0, 0), B (0, 1, 0), C (0, 0, 1) a r e v e r t i c e s o f t r i a n g l e A B C t h e n m ∠ A =_____

Showing 41 to 50 out of 194 Questions