" If "vec a=3hat i+phat j+3hat k" and "vec b=2i+3j+qk" are parallel vectors then "[p]+q=" (where "[]" is G.I.F."

Statement - I: vec(a)=3hat(i)+phat(j)+3hat(k) " and " vec(b)=2hat(i)+3hat(j)+qhat(k) are parallel vectors if p=9/2 " and " q=2 Statement - II: If vec(a)=a_(1)hat(i)+a_(2)hat(j)+a_(3)hat(k) " and " vec(b)=b_(1)hat(i)+b_(2)hat(j)+b_(3)hat(k) are parallel, then a_(1)/b_(1)=a_(2)/b_(2)=a_(3)/b_(3) .

If vec a=hat i+2hat j-3hat k and vec b=2hat i+4hat j+9hat k find a unit vector parallel to vec a+vec b

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If vec a=3hat i-2hat j+hat k and vec b=-hat i+hat j+hat k then the unit vector parallel to vec a+vec b, is

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.

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

If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c = hat i-2 hat j+hat k , find a unit vector parallel to the Vector 2 vec a - vecb+ 3 vec c

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are orthogonal.

Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i- hat j- hat k be three vectors. A vector vec v in the plane of vec aa n d vec b , whose projection on vec c is 1/(sqrt(3)) is given by a. hat i-3 hat j+3 hat k b. -3 hat i-3 hat j+3 hat k c. 3 hat i- hat j+3 hat k d. hat i+3 hat j-3 hat k