The vector ` vec a` has the components `2p` and 1 w.r.t. a rectangular Cartesian system. This system is rotated through a certain angel about the origin in the counterclockwise sense. If, with respect to a new system, ` vec a` has components `(p+1)a n d1` , then `p` is equal to a. `-4` b. `-1//3` c. `1` d. `2`

A vector veca has components 3p and 1 with rrespect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, veca has components p+1 and sqrt10 then a value of p is equal to :

The vector has components 2p and 1 with respect to a rectangular Cartesian system. The axes rotated through system. The axes are rotated through an a about the origin in the anticlockwise sense. If the vector has components (p+1) and 1 unit respect to the new system, then

When a right handed rectangular Cartesian system OXYZ is rotated about the z-axis through an angle pi/4 in the counter-clockwise, direction it is found that a vector veca has the component 2sqrt(3), 3sqrt(2) and 4.

A vector has components p and 1 with respect to a rectangular Cartesian system. The axes are rotted through an angel alphaabout the origin the anticlockwise sense. Statement 1: IF the vector has component p+2and 1 with respect to the new system, then p=-1. Statement 2: Magnitude of the original vector and new vector remains the same.

veca has components 3P and 1 in rectangular cartesian system. veca is rotated counterclockwise about origin such that its components now become sqrt10 and P+1 then a value of "P" is