CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the magnitude of projection of vector 2i+3j+k, on a vector which is perpendicular to the plane containing vectors i+j+k and i+2j+3k.

A
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
43
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
223
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 32
Normal vector to the plane to plane containing ^i+^j+^k and ^i+2^j+3^k is
¯n=(^i+^j+^k)×(^i+2^j+3^k)
¯n=^i2^j+^k
projection of (2^i+3^j+^k) on ¯n
=∣ ∣(2^i+3^j+^k).(^i2^j+^k)1+4+1∣ ∣
=36=32

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