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Assertion (A): The acute angle between t...

Assertion (A): The acute angle between the line` vec(r ) = hat(i) + hat(j) + 2hat(k) + lambda ( hat(i) - hat(j))` and the x - axis is `(pi)/(4)`
Reason(R): The acute angle `therefore ` between the lines
`vec(r) = x_(1) hat(i) + y_(1)hat(j) +z_(1)hat(k) + lambda(a_(1) hat(i) + b_(1)hat(j) + c_(1)hat(k))` and `vec(r) = x_(2)hat(i) + y_(2)hat(j) + z_(2) hat(k) + mu (a_(2)hat(i) + b_(2)hat(j) + c_(2)hat(k))` is given by `cos theta= (|a_(1) a_(2) + b_(1)b_(2)+ c_(1)c_(2)|)/(sqrt(a_(1)^(2) +b_(1)^(2) + c_(1)^(2) )sqrt(a_(2)^(2) + b_(2)^(2) + c_(2)^(2)))`

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true but R is not the correct explanation of A.

C

A is true but R is false.

D

A is false but R is true.

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