Question

The resultant of two vectors at an angle 150° is 10 unit and is perpendicular to one vector. The magnitude of the smaller vector is


please explain in detail

Answer 1

Resultant of two vectors = 150° [angular]
No. of units consumed = 10 units
Perpendicular = 90° [We know this already]


MAGNITUDE OF SMALLER VECTOR
= (150+90)-10
= 240 - 10
= 230 unit.

Answer 2

In x direction

Bcos 60°=10

Since cos 60°=1/2

B=10/1/2

=20

In y direction

A=B sin 60°

Since sin 60°=√3/2

A=20√3/2= 10√3

Since 10√3 is smaller than 20.