The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7i - k is

The ratio in which hat i+2hat j+3hat k divides the join of -2hat i+3hat j+5hat k and 7hat i-hat k is

The ratio in which hat(i)+2hat(j)+3hat(k) divides the join of -2hat(i)+ 3hat(j)+5hat(k) and 7hat(i)-hat(k) is

The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) is

The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) in lambda,mu then lambda+mu

Find the ratio in which the point bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) .

The ratio in which the plane vec r . (i-2j+3k) =17 divides the line joining the points -2i+4j+7k and 3i-5j+8k is

The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+2bar(j)+3bar(k) and -3bar(i)-2bar(j)-5bar(k) is

A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc