If the position vectors of the point A and B are `3hat(i)+hat(j)+2hat(k) and hat(i)-2hat(j)-4hat(k)` respectively. Then the eqaution of the plane through B and perpendicular to AB is

If the position vectors of the point A and B are 3hat(i)+hat(j)+2hat(k) and hat(i)-2hat(j)-4hat(k) respectively. Then the equation of the plane through B and perpendicular to AB is

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?

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

(i) If the position vectors of the points A, B, C be 5hat(i)+3hat(j)+4hat(k), hat(i)+5hat(j)+hat(k) " and " -3hat(i)+7hat(j)-2hat(k) respectively, then show that the points B bisects the line-segment bar(AC) . (ii) The position vectors of the points P and Q are 5hat(i)-12hat(j)+5hat(k) " and " -4hat(i)+3hat(j)-hat(k) respectively. Find the position vectors of the trisection points of the line-segment bar(PQ) .

The position vectors of the points A, B and C are 2hat(i)+6hat(j)-hat(k), hat(i)+2hat(j)+4hat(k) " and " 3hat(i)+10hat(j)-6hat(k) respectively. Show that the points A, B and C are collinear.

The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) respectively. The equation of plane is rcdot(5hat(i)+2hat(j)-7hat(k))+9=0 . The points a and b

The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) respectively. The equation of plane is rcdot(5hat(i)+2hat(j)-7hat(k))+9=0 . The points a and b