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

Let a=2i+j2k and b=i+j. If c is a vector such that a.c=|c|.|ca|=22 and the angle between (a×b) and c is 30o, then |(a×b)×c| is equal to

A
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 32
a×b=∣ ∣ijk212110∣ ∣=2i2j+k
|a×b|=4+4+1=3
|ca|=22
|ca|2
=(ca)2=8
|c|22a.c+|a|2=8
|c|22|c|+9=8
|c|22|c|+1|c|=1
|(a×b)×c|=|(a×b)c|sin30o=32

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