Questions
Let be the line of intersection of the planes and . If makes an angle with the positive axis then is
a
13
b
12
c
1
d
12
detailed solution
Correct option is A
The line of intersection of two planes is perpendicular to the both normal vectors. The normal vectors to the given planes are n1¯=2i+3j+k,and n2¯=i+3j+2k,The vector along line of intersection of two planes is n1¯×n2¯=ijk231132=i3−j3+k3Hence the direction cosines of line are of intersection of two plane is 39+9+9,−39+9+9,39+9+9=13,−13,13Therefore, cosα=13Talk to our academic expert!
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