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

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?

Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)+3hat(j) " and " xhat(i)+11hat(j) are collinear, find x.

Prove that the points with position vectors 60hat(i)+3hat(j), 40hat(i)-8hat(j) " and " ahat(i)-52hat(j) are collinear, if a=-40.

If the points with position vectors 10hat i+3hat j,12hat i-5hat j and ahat i+11hat j are collinear,find the value of a.

Find the value of lamda , if the points with position vectors 3hat(i)- 2hat(j)- hat(k), 2hat(i) + 3hat(j)- 4hat(k), -hat(i) + hat(j) + 2hat(k), 4hat(i) + 5hat(j) + lamda hat(k) are coplanar.

Show that the points whose position vectors are -2hat(i)+3hat(j)+5hat(k),hat(i)+2hat(j)+3hat(k) and 7hat(i)-hat(k) are collinear.

Find the value of lambda , if the point with position vectors 3hat(i) - 2hat(j) - hat(k), 2hat(i) + 3hat(j) - 4hat(k), -hat(i) + hat(j) + 2hat(k) and 4hat(i) + 5hat(j) + lambda hat(k) are coplanar.

If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat j and a hat i+11 hat j are collinear, find the value of adot