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Show that if P, A, B are any three point...

Show that if P, A, B are any three points, then `lambda vec(PA)+mu vec(PB)=(lambda + mu)vec(PC`, where C divides [AB] in the ratio `mu : lambda`.

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Knowledge Check

  • The magnitude of the vectors vec(a) and vec(b) are equal and the angle between them is 60^(@) . If the vectors lambda vec(a)+vec(b) and vec(a)-lambda vec(b) are perpendicular to each other, then what is the value of lambda ?

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