If `hat 2i-3hat j+4hat k` and `hat 3i+lambdahat j+muhat k` be collinear vectors, then find the values of `lambda` and `mu`

If vectors vec a=hat i+2hat j-hat k,vec b=2hat i-hat j+hat k and vec c=lambdahat i+hat j+2widehat k are coplanar,then find the value of (lambda-4)

The scalar product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vector 2 hat i+4 hat j-5 hat k and lambda hat i+2 hat j+3 hat k is equal to one. Find the value of lambda .

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

If hat i+hat j+muhat k,muhat i+hat j+hat k,hat i+muhat j+hat k are coplanar vectors,then sum of all distinct values of mu is (A)0(B)2(C)-1(D)1

If two vectors 2hat(i)+3hat(j)-hat(k) and -4hat(i)-6hat(j)-lambda hat(k) are parallel to each other,then find the value of lambda

If vectors hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3hat(j) - a hat(k) are equal vectors, then the value of a is :

The vectors 3 hat i- hat j +2 hat k', 2 hat i+hat j + 3 hat k and hat i + lambda hat j - hat k are coplaner if value of lambda is (A) -2 (B) 0 (C) 2 (D) any real number

The vectors vec a=hat i-2hat j+3hat k,vec b=-2hat i+3hat j-4hat k and vec c=hat i-3hat j+lambdahat k are coplanar if the value of lambda is

The scalar product of the vector hat i+hat j+hat k with the unit vector along the sum of vectors 2hat i+4hat j-5hat k. and lambdahat i+2hat j+3hat k is equal to one.Find the value of lambda .