CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

If a=^i^j andb=3^i+4^j, the vector having the same magnitude as b and parallel to a is

A
52(^i^j)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
52(^i+^j)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5(^i^j)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5(^i+^j)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 52(^i^j)
Magnitude of b is 32+42=5
Unit vector in direction of a is a|a|
^a=^i^j12+12=12(^i^j)
Now, vector having magnitude same as b and parallel to a is
=|b|×^a
=5×12(^i^j)
=52(^i^j)

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon