MCQs of Vector Algebra

Showing 21 to 30 out of 194 Questions

21.

If \bar{x} = (\hat{i} - \hat{j} + \hat{k}), \bar{y} = 4 \hat{i} + 3 \hat{j} + 4 \hat{k} and \bar{z} = \hat{i} + a \hat{j} + b \hat{k} are coplanar and |\bar{z}| = \sqrt{3}, then_____

22.

If A (3, - 1), B (2, 3) and C (5, 1), then m ∠ A =_____

23.

If |\bar{x} \cdot \bar{y}| = cosα, then |\bar{x} \times \bar{y}| =_____

24.

If \bar{x} \cdot \bar{y} = 0, then \bar{x} \times (\bar{x} \times \bar{y}) =_____, where |\bar{x}| = 1

25.

\bar{a} \times (\bar{b} \times \bar{c}) + \bar{b} \times (\bar{c} \times \bar{a}) + \bar{c} \times (\bar{a} \times \bar{b}) =_____

26.

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} =_____

27.

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______

28.

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}) = ?

29.

I f |\bar{x}| = |\bar{y}| = 1 a n d (\bar{x} \overset{Λ}{} \bar{y}) = \frac{π}{6} t h e n |\bar{x} - \bar{y}| =_____

30.

A n g l e b e t w e e n 3 (\bar{a} \times \bar{b}) a n d \frac{1}{2} (\bar{b} - (\bar{a} \cdot \bar{b}) \bar{a}) i s

Showing 21 to 30 out of 194 Questions