Question

if alpha beta and gama are made by the vectors 3i-6j+2k with positive direct of co ordinates axes

Answer 1

Answer:

If

A

=A

x

i

^

+A

y

j

^

+A

z

k

^

then, the angles which it makes with coordinate axes are given by:

cosθ=

A

magnitude of component along concerned direction

where A is the magnitude of

A

is A=

3

2

+6

2

+2

2

=7

therefore, angle with x- axis α=cos

−1

7

3

angle with y-axix β=cos

−1

7

6

angle with z-axis γ=cos

−1

7

2