let `vecf(t)=[t]hati-(t-[t])hatj+[t+1]hatk` be a vector .where `[.]` is a greatest integer function .if `vecf(5/4)` and `hati+lambdahatj+muhatk` are parallel vectors then `(lambda,mu)`

let vec f(t)=[t]hat i-(t-[t])hat j+[t+1]hat k be a vector.where [.] is a greatest integer function if f((5)/(4)) and hat i+lambdahat j+muhat k are parallel vectors then (lambda,mu)

Let vecf(t)=[t] hat i+(t-[t]) hat j+[t+1] hat k , w h e r e[dot] denotes the greatest integer function. Then the vectors vecf(5/4)a n df(t),0lttlti are(a) parallel to each other(b) perpendicular(c) inclined at cos^(-1)2 (sqrt(7(1-t^2))) (d)inclined at cos^(-1)((8+t)/sqrt (1+t^2));

If 2hati-3hatj+4hatk and 3hati+lambdahatj+muhatk be collinear vectors, them find the values of lambda and mu .

The two vectors {veca = 2hati + hatj + 3hatk, vecb = 4hati - lambda hatj + 6hatk} are parallel if lambda is equal to:

If the vectors 3hati+lambdahatj+hatk and 2hati-hatj+8hatk are perpendicular, then lambda is equal to

A vector coplanar with vectores hati + hatj and hatj + hatk and parallel to the vector 2 hati - 2 hatj - 4 hatk is