Let A and B be the two vectors of magnitude 10 unit each. If they

1.	Let A and B be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.
Answer» Angle between the vectors θ= 60°-30° =30°. Hence magnitude of the resultant = √(A²+B²+2ABcosθ) = √(10²+10²+2.10.10.cos30°) =√(200+200.√3/2) =10√(2+√3) = 19.32 units Since the vectors have equal magnitudes so the resultant bisects the angle θ between them. The angle between resultant and vector A =30°/2 =15°. So angle between resultant and X-axis =15°+30° =45°.

Let A and B be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

Answer»

Angle between the vectors θ= 60°-30° =30°.

Hence magnitude of the resultant = √(A²+B²+2ABcosθ)

= √(10²+10²+2.10.10.cos30°)

=√(200+200.√3/2) =10√(2+√3)

= 19.32 units

Since the vectors have equal magnitudes so the resultant bisects the angle θ between them. The angle between resultant and vector

A =30°/2 =15°. So angle between resultant and X-axis =15°+30° =45°.