Question

Two vectors of magnitude 5 unit each have an angle 60 degree between the magnitude of the sum of the vectors and difference of the vectors respectively is

Answer 1

Explanation:

Let sum be x

Difference be y

By traingle law of vector addition

X^2 = 5^2 + 5^2 + 2 ×5×5×cos60

= 25 +25+ 5 × 5

= 75

$\sqrt{75} = 5 \sqrt{3}$

By traingle law of vector subtraction

y^2 = 5^2 + 5^2 - 2 ×5×5×cos60

=25 +25- 5 × 5

=25 y=5