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The points P and Q have position vectors relative to the origin O given respectively by p=i+6j and q=3i+8j.
i. a) Calculate in degrees the size of the acute angle between p and q.
b)hence, calculate the area of the triangle POQ
ii Find in terms of i and j, the position vector of
a) M, where M is the midpoint of PQ.
b) R. where R is such that PQRO, labelled clockwise, forms a parallelogram.
 one year ago
 one year ago
The points P and Q have position vectors relative to the origin O given respectively by p=i+6j and q=3i+8j. i. a) Calculate in degrees the size of the acute angle between p and q. b)hence, calculate the area of the triangle POQ ii Find in terms of i and j, the position vector of a) M, where M is the midpoint of PQ. b) R. where R is such that PQRO, labelled clockwise, forms a parallelogram.
 one year ago
 one year ago

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eseidlBest ResponseYou've already chosen the best response.0
To find the angle between vectors the dot product relation is used. \[\cos \theta=\frac{p*q}{\left p \right\left q \right}\]
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
So, this gives:\[\cos \theta=\frac{3+48}{\sqrt{7}\sqrt{73}}\]\[\theta \approx75.15 \]degrees.
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
You should be able to get the area of the triangle POQ now
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
let me know what you have so far
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
ok the page keeps refreshing thats why my replies are late
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
yeah sometimes this site chugs along bad
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
ah crap I made an error. the length of vector p should be sqrt(1+36)=sqrt(37)
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
ok im still working on the question
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
So the angle should be about 30 degrees
 one year ago

eseidlBest ResponseYou've already chosen the best response.0
I got to get ready for work...good luck!
 one year ago

GoldRush18Best ResponseYou've already chosen the best response.0
ok thanks so far bye
 one year ago
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