wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A vector a has components 2p and 1 with respect to a rectangular cartesian system. The system is rotated through a certain angle about the origin in the anti-clockwise sense. If a has components p+1 and 1 with respect to the new system, then

A
p=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
p=1 or 13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
p=1 or 13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
p=1 or 1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B p=1 or 13
2p and 1 are the components of the original vector whereas p+1 and 1 are the components of the new vector.
Since, they are the same vector rotated about the origin, their magnitude will remain the same.

(2p)2+12=(p+1)2+12(2p)2=(p+1)22p=±(p+1)p=1 or p=13

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Some Fundamental Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon