If the line x−x1a1=y−y1b1=z−z1c1 makes an angle θ with the plan – InterviewSolution

1.	If the line x−x1a1=y−y1b1=z−z1c1 makes an angle θ with the plane a2x+b2y+c2z=d, then = a1a2+b1b2+c1c2√(a21+b21+c21)(a22+b22+c22)
Answer» If the line $\frac{x - x_{1}}{a_{1}} = \frac{y - y_{1}}{b_{1}} = \frac{z - z_{1}}{c_{1}}$ makes an angle $θ$ with the plane $a_{2} x + b_{2} y + c_{2} z = d$ , then = $\frac{a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2}}{\sqrt{(a_{1}^{2} + b_{1}^{2} + c_{1}^{2}) (a_{2}^{2} + b_{2}^{2} + c_{2}^{2})}}$

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