CameraIcon
CameraIcon
SearchIcon
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. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system. a has components p + 1 and 1, then

A
p = 0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
p=1 or p=13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
p=1 or p =13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
p=1 or p=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 p=13
Here, a=(2p)^i+^j,
When the system is rotated, the new components of a are (p + 1) and 1.
i.e. b=(p+1)^i+^j
But |a|2=|b|2
4p2+1=(p+1)2+14p2=p2+2p+13p22p1=0(3p+1)(p1)=0p=1,1/3

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