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Question

Mathematics Question on Coordinate Geometry

The acute angle between the planes 2x-y-3z=7and x+2y+2z=0 is

A

cos⁡−1(−1414)\cos^{-1}(\frac{-\sqrt{14}}{14})

B

π−cos⁡−1(−147)\pi-\cos^{-1}(\frac{-\sqrt{14}}{7})

C

cos⁡−1(1411)\cos^{-1}(\frac{\sqrt{14}}{11})

D

π−cos⁡−1(−1421)\pi-\cos^{-1}(\frac{-\sqrt{14}}{21})

E

π−cos⁡−1(147)\pi-\cos^{-1}(\frac{\sqrt{14}}{7})

Answer

π−cos⁡−1(−147)\pi-\cos^{-1}(\frac{-\sqrt{14}}{7})

Explanation

Solution

The correct option is (B): π−cos⁡−1(−147)\pi-\cos^{-1}(\frac{-\sqrt{14}}{7})