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Let L be the line of intersection of pla...

Let L be the line of intersection of planes `vec(r).(hat(i) - hat(j) + 2hat(k)) = 2` and `vec(r).(2hat(i) + hat(j) - hat(k)) = 2`. If `P(alpha, beta, gamma)` is the foot of perpendicular on L from the point (1,2,0), then the value of `35(alpha + beta + gamma)` is equal to :

A

101

B

119

C

143

D

134

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Knowledge Check

  • The position of a particle is given by vec(r )= (hat(i) + 2hat(j) - hat(k)) and momentum vec(P)= (3 hat(i) + 4 hat(j)-2 hat(k)) . The angular momentum is perpendicular to

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    A
    `vec(c). hat(k) + 7= 0`
    B
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