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The vector equation of a line AB is give...

The vector equation of a line AB is given by `vec r`=`x_1(1 + lambda) hat i + y_1(1 + 2 lambda) hat j+ z_1(1 + 3 lambda) hat k`. The coordinates of A are `(x_1, y_1, z_1)` and `vec r` is the position vector of a point `(x, y, z)` on AB.
(i) What is the equation of this line in cartesian form ?
(ii) If A's coordinates are `(-2, 5, -3)`, use the cartesian equation of the line to find the coordiantes of B.
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