Question

let vector OP = 2i + 3j and vector OQ = -6i+4j. R is a point on vector PQ such that PR/RQ = k/1, where k>0.
a/ express vector OR in terms of k, i and j.
b/ express (vector OP)dot(vector OR) and (vector OQ)dot(vector OR) in terms of k.
c/ Find the value of k such that OR bisects angle POQ.

Answer 1

a. OR= OP +PR

Answer 2

where PR=k * RQ

Answer 3

Coordinates of Q can be found by section formula

Answer 4

i dont understand

Answer 5

which part?

Answer 6

should i find RQ in terms of k first ?

Answer 7

yes

Answer 8

RQ= (8k/k+1, -k/k+1)

Answer 9

got it??

Answer 10

can you show the step

Answer 11

FIND R by section formula

Answer 12

because i got (-4/1+k, 7/1+k)

Answer 13

no, i think u made a mistake in doing the section formula...