1.

parallel to the vector bar (b) is bar (r) = bar a + lamda bar b , where lamda is a scalar.

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Solution :Let L be a LINE in space passing through the point `(bar a )` and parallel to vector `bar(b)`.
Let P be any point on the line ( other than A) whose position vector is `bar(R)` w.r.t O.
Since `bar(AP)` is parallel to `bar (b)`
` thereforebar (AP) = lamda bar(b)` , where ` lamda ` is a scalar
` THEREFORE bar (r) = bar (a) = lamda bar (b)`
`therefore bar(r) = bar(a) + lamda bar(b)`
This is the vector from of the equation of the line .


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