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parallel to the vector bar (b) is bar (r) = bar a + lamda bar b , where lamda is a scalar. |
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Answer» <P> 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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