Question

two vector of magnitude 5 unit each have an angel 60 degree between them. The magnitude of the sum of vector and the difference of the vector respectively is​

Answer 1

Answer:

Magnitude of resultant vector

R=

A

2

+B

2

2(A)(B)cos60

R=

25+25+2×25×

2

1

R=

75

R=8.66

For angle, ∠=tan

−1

[

A+Bcosθ

Bsinθ

]

∠=tan

−1

⎣

⎢

⎢

⎢

⎡

5+5×

2

1

5×

2

3

⎦

⎥

⎥

⎥

⎤

∠=tan

−1

[

3

1

]

∠=30°