Class 12MathematicsTHREE DIMENSIONAL GEOMETRYSystem of co-ordinates, Direction cosines and direction ratios, Projection
MediumThe reflection of the point $(\alpha, \beta, \gamma)$ in the $XY$-plane is:
- A$(\alpha, \beta, 0)$
- B$(0, 0, \gamma)$
- C$(-\alpha, -\beta, \gamma)$
- D$(\alpha, \beta, -\gamma)$
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If the relation between the direction ratios of two lines in $\mathbb{R}^3$ are given by $l+m+n=0$ and $2lm+2mn-ln=0$, then the angle between the lines is ($l, m, n$ have their usual meaning).
If $\alpha, \beta, \gamma$ are the angles that a line makes with the positive direction of the coordinate axes,then $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma = $
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The direction ratios of the diagonal of a cube that joins the origin to the opposite corner are (when the $3$ concurrent edges of the cube are the coordinate axes):
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View SolutionIf the direction ratios of two lines are given by $a+2b+c=0$ and $11bc+6ca-14ab=0$, then the angle between these lines is
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