यदि `m hat(PQ) = 60^(@)`, तो `m hat(QP)` बराबर है

If the vectors 2hat(i) + 3hat(j) - 6hat(k) and 4hat(i) - m hat(j) - 12 hat(k) are parallel find m.

Let m be the unit vector orthogonal to the vector hat(i)- hat(j)+ hat(k) and coplanar with the vectors 2 hat (i)+ hat(j) AND hat(j)- hat hat(k) , If a= hat(i)- hat(k) , then the length of the perpendicular from the origin to the plane r.m=a.m is

If the vectors 3 hat (i) - 2 hat (j) + m hat (k) and - 2 hat (i) + hat (j) +4 hat (k) are perpendicular to each other , find the value of m

If vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec(b) = hat (i) + hat (j) - hat (k) and |vec (a) xx vec(b)| = sqrt(13 m ) then the value of m is -

For what value of m are the point with position vectors, 10 hat(i) + 3hat(j), 12 hat(i) - 5hat(j) and m hat(i) + 11 hat(j) collinear?

Two vector 2hat(i)+m hat(j)-3 n hat(k) and 5 hat(i) + 3 m hat(j)+ n hat(k) are such that their magnitudes are respectively sqrt(14) and sqrt(35) , where m, n are integers. Which one of the following is correct?

In each of the following cases two vectors are perpendicular to each other, find m vec (a) =m hat(i)- 2 hat (j) - 5 hat (k) and vec (b) = - 3 hat (i) - hat (j) + 4 hat (k)

If a = 2 hat(i) - hat(j) - m hat(k) and b = (4)/(7)hat(i) - (2)/(7)hat(j) + 2hat(k) are collinear, then the value of m is equal to a) -7 b) -1 c)2 d)7