The position vectors of the points A and B are 3`hat i -hat j+7hat k and 4hat i -3hat j -hat k`; find the magnitude and direction cosines of `vec(AB)`.

The position vectors of the points A and B are 3hat i-hat j+7hat k and 4hat i-3hat j-hat k; find the magnitude and direction cosines of bar(AB)

The position vectors of the points A and B are 3hat(i)-hat(j)+7hat(k) " and " 4hat(i)-3hat(j)-hat(k) , find the magnitude and direction cosines of vec(AB)

If the position vectors of the points A and B are : 7hat(i)+3hat(j)-hat(k) and 2hat(i)-5hat(j)+4hat(k) respectively, find the magnitude and direction - cosines of the vector vec(AB) .

vec [AB]=3hat i+ hat j+ hat k and vec [CD]= -3hat i+2 hat j+4 hat k are two vectors. The position vectors of points A and C are 6 hat i+ 7 hat j+ 4 hat k and -9 hat j +2 hat k respectively. Find the position vector of point P on the line AB and point Q on the line CD such that vec [PQ] is perpendicular to vec [AB] and vec [CD] both.

Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on 7 hat i+ hat j- 3 hat k .

If the position vectors of points A and B are 3hat(i)-2hat(j)+hat(k) and 2hat(i)+4hat(j)-3hat(k) respectively, then what is the length of vec(AB) ?

If position vectors of two points A and B are 3hat(i)- 2hat(j) + hat(k) and 2hat(i) + 4hat(j) - 3hat(k) , respectively then length of vec(AB) is equal to?

The position vectors of the points P and Q are 5 hat i+7 hat j- 2 hat k and -3 hat i+3 hat j+6 hat k respecively. The vector vec A=3 hat i-hat j+hat k passes through the point P and the vector vec B=-3 hat i+2 hat j+4 hat k passes through the point Q. A third vector 2 hat i+7 hat j- 5hat k intersects vectors vec A and vec B . Find the position vectors of the points of intersection

The position vector of the points P and Q are 5 hat i+7 hat j-2 hat k and -3 hat i+3 hat j+6 hat k , respectively. Vector vec A=3 hat i- hat j+ hat k passes through point P and vector vec B=-3 hat i+2 hat j+4 hat k passes through point Q . A third vector 2 hat i+7 hat j-5 hat k intersects vectors A and Bdot Find the position vectors of points of intersection.

The position vector of the points P and Q are 5 hat i+7 hat j-2 hat k and -3 hat i+3 hat j+6 hat k , respectively. Vector vec A=3 hat i- hat j+ hat k passes through point P and vector vec B=-3 hat i+2 hat j+4 hat k passes through point Q . A third vector 2 hat i+7 hat j-5 hat k intersects vectors A and Bdot Find the position vectors of points of intersection.