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

If a=^i+2^j3^k and b=3^i^j+2^k then the angle between the vectors a+b and ab is.

A
60o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
90o
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
45o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
55o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 90o
Given that:
a=^i+2^j3^k and b=3^i^j+2^k
Now,
a+b=^i+2^j3^k+3^i^j+2^k=4^i+^j^k
ab=^i+2^j3^k3^i+^j2^k=2^i+3^j5^k
Then,
(a+b).(ab)=(4^i+^j^k).(2^i+3^j5^k)
=8+3+5
=0
So, angle between a+b and ab is 90.
Hence, B is the correct option.

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