If a line OP makes angles - 1 - 2 - 3 with co-ordinate planes XOY-YOZ-ZOX- then sin 2 - 1 -sin 2 - 2 -sin 2 - 3 -

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Standard XII

Mathematics

Complex Numbers

If a line O...

Question

If a line $O P$ makes angles $θ_{1}, θ_{2}, θ_{3}$ with co-ordinate planes $X O Y, Y O Z, Z O X$ , then ${sin}^{2} θ_{1} + {sin}^{2} θ_{2} + {sin}^{2} θ_{3} =$

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Solution

The correct option is A $1$
A
Hint: Assume the line OP is in one of the plane. hence angle with that plane is zero.

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If a line OP makes angles θ1,θ2,θ3 with co-ordinate planes XOY,YOZ,ZOX, then sin2θ1+sin2θ2+sin2θ3=

The correct option is A 1AHint: Assume the line OP is in one of the plane. hence angle with that plane is zero.

If a line $O P$ makes angles $θ_{1}, θ_{2}, θ_{3}$ with co-ordinate planes $X O Y, Y O Z, Z O X$ , then ${sin}^{2} θ_{1} + {sin}^{2} θ_{2} + {sin}^{2} θ_{3} =$

The correct option is A $1$
A
Hint: Assume the line OP is in one of the plane. hence angle with that plane is zero.