CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A vector a has components 2p and 1 w.r.t in a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter-clockwise sense. If w.r.t the new system, a has components p+1 and 1, then


Open in App
Solution

Step 1: Given and assume

Let,

The unit vectors along the coordinate axes are i and j.

a=2pi+1.j...(1)

On rotation, the vector has components p+1 and 1is b

b=(p+1)i+1.j...(2)

Step 2: Calculation

The magnitude of the initial and end vectors will stay constant during rotation.

b=ab2=a2

(p+1)2+1=(2p)2+13p2-2p-1=0(3p+1)(p-1)=0p=1p=-13.


flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image