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Question

Find the angle between planes 2x +7y +11z - 3 = 0 & 5x +3y +9z +1 = 0



A
cos1=130174.115
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B
cos1=139174.115
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C
cos1=123174.115
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D
cos1=107174.115
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Solution

The correct option is A cos1=130174.115
We know that the angle between two planes a1x+b1y+c1z+d1=0 & a2x+b2y+c2z+d2=0is given by -
cos(θ)=a1a2+b1b2+c1c2(a21+b21+c21)(a22+b22+c22)
So, Here we’ll substitute the appropriate values.
cos(θ)=2.5+7.3+11.9(22+72+112)(52+32+92)
cos(θ)=130174.115
(θ)=cos1(127174115)

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