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Question

The angle between the lines x - 3y - 4 = 0, 4y - z + 5 = 0 and x - 3y - 11 = 0, 2y - z + 6 = 0 is

A
600
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B
300
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C
900
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D
450
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Solution

The correct option is B 900
Given,

x3y4=0 and 4yz+5=0 is

=∣ ∣ ∣^i^j^k130041∣ ∣ ∣

=3i+j+4^k=

Vector along the line of intersection of planes

x+3y11=0x+3y11=0 and 2yz+6=02yz+6=0 is

=∣ ∣ ∣^i^j^k130021∣ ∣ ∣

=3i+j+2^k
Angle between lines be θ

cosθ=9+1+89+1+169+1+4

cosθ=0

θ=90

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