# Find the Vector Equation of the Lines Which Passes Through the Point with Position Vector 4hati - Hatj +2hatk And Is in the Direction of -2hati + Hatj + Hatk - Mathematics and Statistics

Find the vector equation of the lines which passes through the point with position vector 4hati - hatj +2hatk and is in the direction of -2hati + hatj + hatk

#### Solution

Let bara = 4hati - hatj + 2hatk

barb = -hat2i + hatj + hatk

Equation of the line passing through point A(bara) and having direction barb is

barr = bara + lambdabarb

barr = (4hati - hatj + 2hatk) + lambda(-2hati + hatj + hatk)

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