Find the value of `' p '` for which the vectors `3 hat i+2 hat j+9 hat k\ a n d\ hat i-2p hat j+3 hat j+3 hat k` are parallel.

Find the value of 'p' for which the vectors 3hat i+2hat j+9hat k and hat i-2phat j+3hat j+3hat k are parallel.

If the vectors 3 hat i +3 hat j +9 hat k and hat i +a hat j +3 hat k are parallel, then a =

Find the value of a for which the vector 3 hat i + 3 hat j + 9 hat k and hat i + a hat j + 3 hat k are parallel.

Find the value of ^(prime p) for which the vectors hat i+2hat j+9hat k and hat i-2phat j+3hat k are parallel.

Find the value of p for which the vectors vec a=3hat i+2hat j+9hat k and vec b=hat i+phat j+3hat k are (i) perpendicular (ii) parallel

Write the value of p for which vec a=3hat i+2hat j+9hat k and vec b=hat i+phat j+3hat k are parallel vectors.

Find the value of mu if the points with position vectors hat i - hat j + 3 hat k and 3 hat i + 4 hat j+ mu hat k are equidistant form the plane hat r .(5 hat i + 2 hat j - 7 hat k )+ 8 =0

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

Find the area of the parallelogram determined by the vectors: hat i-3hat j+hat k and hat i+hat j+hat k

Prove that the vectors vec A = 4 hat i + 3 hat j + hat k and vec B = 12 hat i + 9 hat j + 3 hat k are parallel to each other.