If are the angles that a line makes with the positive direction of X, Y, Z axes, respectively, then the direction cosines of the line are :

Question

If $α, β, γ$ are the angles that a line makes with the positive direction of $X$ , $Y$ , $Z$ axes, respectively, then the direction cosines of the line are :

Smart Achievers · Accepted Answer

(2)

Ans. $\cos α, \cos β, \cos γ$

Explanation:

Cosines of the angles $α, β, γ$ made by a line with positive direction of $X$ , $Y$ , $Z$ axes are $\cos α, \cos β, \cos γ$ .

Solution

Q.
If $α, β, γ$ are the angles that a line makes with the positive direction of $X$ , $Y$ , $Z$ axes, respectively, then the direction cosines of the line are :

1 $\sin α, \sin β, \sin γ$

2 $\cos α, \cos β, \cos γ$

3 $\tan α, \tan β, \tan γ$

4 $\cos^{2} α, \cos^{2} β, \cos^{3} γ$

Ans.
(2)

Ans. $\cos α, \cos β, \cos γ$

Explanation:

Cosines of the angles $α, β, γ$ made by a line with positive direction of $X$ , $Y$ , $Z$ axes are $\cos α, \cos β, \cos γ$ .

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Solution

Q. If α,β,γ are the angles that a line makes with the positive direction of X, Y, Z axes, respectively, then the direction cosines of the line are :

1 sinα, sinβ, sinγ

2 cosα, cosβ, cosγ

3 tanα, tanβ, tanγ

4 cos2α, cos2β, cos3γ

Ans. (2) Ans. cosα, cosβ, cosγ Explanation: Cosines of the angles α,β,γ made by a line with positive direction of X, Y, Z axes are cosα, cosβ, cosγ.