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