Q. 205.0( 1 Vote )

# Find the vector e

Given: line passes through the point (3, -2, 1) and is parallel to the line joining points B(-2, 4, 2) and C(2, 3, 3).

To find: equation of line in vector and Cartesian forms

Formula Used: Equation of a line is

Vector form:

Cartesian form:

where is a point on the line and with b1 : b2 : b3 being the direction ratios of the line.

Explanation:

Here,

The direction ratios of the line are (-2 - 2) : (4 - 3) : (2 - 3)

-4 : 1 : -1

4 : -1 : 1

So,

Therefore,

Vector form:

Cartesian form:

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