Question

X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

Answer 1

Explanation:

a

x

=2a

y

,cosγ=

a

a

z

=cos135

∘

=−

2

1

⇒a

z

=−

2

a

=−

2

5

2

=−5

Now a

x

2

+a

y

2

+a

z

2

=50⇒4a

y

2

+a

y

2

+25=50

⇒a

y

2

=5⇒a

y

=±

5

⇒a

x

=±2

5