R S Aggarwal Solutions for Exercise 2: EXERCISE

Show that the points$A(2, 1, 3), B(5, 0, 5)$and $C(-4,3,-1)$ are collinear.

Show that the points$A(2, 3, -4), B(1, -2, 3)$ and $C(3, 8, -11)$are collinear.

Find the value of $\lambda$ for which the points $A(2, 5, 1), B(1, 2, -1)$ and$C(3, \lambda , 3)$ are collinear.

Find the values of $\lambda$ and μ so that the points $A(3, 2, -4)$, $B(9, 8, -10)$ and$C(\lambda , \mu -6)$ are collinear.

Find the values of $\lambda$ and $\mu$ so that the points $A(-1, 4, -2)$, $B(\lambda , \mu ,1)$ and $C(0, 2, -1)$are collinear.

The position vectors of three points $A, B$ and $C$ are $(-4\hat{i}+2\hat{j}-3\hat{k}),(\hat{i}+3\hat{j}-2\hat{k})\text{ and }(-9\hat{i}+\hat{j}-4\hat{k})$  respectively. Show that the points $A, B$ and $C$are collinear.