Step-by-step explanation:
Given that lines makes an angle α, β, γ with x - axis, y - axis and z - axis respectively.
So, By definition of direction cosines,
So,
On multiply by 2 on both sides we get
can be further rewritten as
Hence,
So, option (d) is correct.
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<h3>MORE TO KNOW </h3>
Direction cosines of a line segment is defined as the cosines of the angle which a line makes with the positive direction of respective axis.
The scalar components of unit vector always give direction cosines.
The scalar components of a vector gives direction ratios.