Vectors RT-02

The angle between the two vectors -2i + 3j + k and i + 2j – 4k is

• 0⁰

• 90⁰

• 180⁰

• None of the above

The Scalar product of two equal vectors i.e. A . A is equal to

• A vector

• Unit vector

• Square of the magnitude of vector

• Null vector

The projection of vectors A = i – 2j + k onto the direction of B = 4i – 4j +7k is

• 1/19

• 2/19

• 9/19

• 19/9

  $\overrightarrow{A}=2i+5k$   and  $\overrightarrow{B}$   is another vector. If   $\overrightarrow{A}\cdot\overrightarrow{B}=0$  then the  $\overrightarrow{B}$  vector could be

• i + 3j

• 2i + j - k

• 4i - 3k

• 10j

Angle between the vectors

( i + j ) and ( j + k ) is

• 60^o

• 90^o

• 180^o

• 0^o

If (a x b) points along positive z-axis, then the vectors a and b must lie in

• xz-plane

• yz-plane

• xy-plane

• None of them

A vector of magnitude $5√3$  

  units and another vector of magnitude 10 units are inclined to each other at angle of  $30\degree$ . The magnitude of their vector product is 

• 5√3

• 25√3

• 10

• 50

Find the torque of a force F = - 3i + j + 5k acting at the point r = 7i + 3j + k

• 14i – 38j + 16k

• 4i + 4j + 6k

• – 21i + 4j + 4k

• -14i + 34j – 16k

 The Scalar product of two vector is  $2\sqrt{3}$  and the magnitude of their vector product is 2. The angle between them is 

•  $90\degree$  

•  $60\degree$  

•  $30\degree$  

•  $45\degree$  

 $\overrightarrow{A}=3i+4j$  , find a vector perpendicular to  $\overrightarrow{A}$   in the plane of  $\overrightarrow{A}$  

• k

• 3i - 4j

• -3i - 4j

• 4i + 4j