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Question

# Angle between two planes a1x+b1x+c1x+d1=0 & a2x+b2x+c2x+d2=0 is given by-

A
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C
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Solution

## The correct option is C We know that the angle between two planes is the angle between its normals. Let the equation of one plane be r. n1=k1 and the another plane be r. n2=k2 So the angle between these normals will be - cos=n1.n2n1.n2 In the equation of a plane in cartesian form we know that the coefficients of x,y & z give us the direction ratios of the normal vector. So, for the first plane n1=a1i+b1j+c1k Similarly for the second plane the normal vector n2=a2i+b2j+c2k cosθ=a1a2+b1b2+c1c2√(a21+b21+c21)(a22+b22+c22)

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