Question

let A vector and B vector be two vector of magnitude 10 units each .Of they are inclined to the x- axis at 30 ° and 60° respectively. Find the resultant​

Answer 1

Answer:

\begin{gathered}} \sqrt{250 \sqrt{3 \\} }\end{gathered}

Answer 2

Explanation:

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°.