vectors

[/0]

P, Q and R are points with position vectors , , and (cbf with tildes) respectively relative to an origin O where and are non-zero, non-parallel vectors. Given that S is the point on OP produced such that and , evaluate k and m.

Does this seem like a flawed question to you? I drew the vectors on a graph and it seems R, Q, and S are not collinear.

Thanks

[Collin Li]

Since



and are non-zero, non-parallel vectors, which implies they are linearly independent.

(This must be true, for otherwise, has a solution for and , which would imply . This means that the two vectors are parallel, so by contradiction, they cannot be linearly dependent)

Since and are linearly independent, equating coefficients yields:

(1):

(2):

Solving them:

[/0]

thanks coblin! (2) is meant to be but yeah now I understand the method

[Collin Li]

thanks coblin! (2) is meant to be but yeah now I understand the method

Ah, always messing up one step. Fixed

[hard]

COLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLINNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN

[Collin Li]

what is up mate

[hard]

just the ceiling

[Fyrefly]

The sky.

[Flaming_Arrow]

sick kentz