Question

Let vecA and vecB be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30^@ and 60^@ respectively, find the resultant.

Answer 1

Answer:

R=√A^2×B^2+2ABcos30

Answer 2

Resultant of vector = 19.3 unit.

Given:

Let $\vec A$ and $\vec B$ be the two vectors of magnitude 10 unit each.

They are inclined to the X-axis at angles 30° and 60° respectively.

To find:

Resultant of the vector.

Formula used:

Resultant of vector =  $\sqrt{(\vec A)^2 + (\vec B)^2 +2 \vec A \vec B cos \theta }$

Explanation:

Vector A is inclined to X-axis at angles 30° and Vector B  60° respectively.

So resultant angle between the vector = 60° - 30° = 30°

Resultant of vector =  $\sqrt{(\vec A)^2 + (\vec B)^2 +2 \vec A \vec B cos \theta }$

Resultant of vector = $\sqrt{10^{2}+10^{2}+2.10 .10 \cos 30}$

Resultant of vector = 19.3 unit.

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