Question

A vector of magnitude 10root

3 units and making equal angles with the positive direction of x, y and z-axis is​

Answer 1

Answer:

Let vector

A

makes angle α,β,γ with x,y & z respectively. Then we know that.

cos

2

α+cos

2

β+cos

2

γ=1

it is given that α=β=γ

So, 3cos

2

α=3cos

2

β=3cos

2

γ=1

cosα=

3

1

=cosβ=cosγ

So,

A

=

3

1

i

^

+

3

1

j

^

+

3

1

k

^