Hi folks first post, i am a 20yr old student from north-west england, hope you guys can help me and i can return the favour some time.(adsbygoogle = window.adsbygoogle || []).push({});

1) How can the vector product be used to show two vectors are orthogonal to eachother?

a=2i-5j+3k

b=-i+j+k

2)How can the vector product be used to show an expression for the area of a triangle using the below co-ordinates?

(2,0,1) (3,1,7) (-2,5,5)

3)Using two lines...

L1: r=p+λn L2: s=q+µm

where...

p=8i+9j+3k

n=i+j

q=-2i-4j+k

m=i+2j

...and a suitable minimum distance forumla, find the shortest distance between the two lines, providing a straight line indicates this distance, find the position vectors of these two connecting points, one on each line.

Many thanks.

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# Homework Help: Degree level vector help required.

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