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# Vectors! watch

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1. how can you show that point A (7,-1,3)

lies on vector r = i + j + k + &(3i - j + k)

Many thanks
2. Show that the system of equations has a solution for s which is consistent. In other words, compare components of the vectors on the LHS and RHS and solve each one and show that all of them give the same value for s.
3. what do you mean by consistent?
4. ok i see what you mean , as in i get the same result by pluging values in with that value for S.

cheers,

im very good at maths, but i find vectors very hard, any tips?
5. Each row of the column vectors represent 3 simultaneous equations. If you solve them and get different values for s, they are inconsistent.
6. Substitute point A (7i, -1j, 3k) in the place of r, making it equal to the vector equation so you have:

(7i, -1j, 3k) = (i, j, k) + &(3i, -j, K)

equate and find & for each component,

i: 7 = 1 + 3&, &=2
j: -1 = 1 + (-)&, &=2
k: 3 = 1 +&, &=2

& is the same for all 3 components so A therefore lies on the vector.
7. (Original post by Eager PPe ist)
ok i see what you mean , as in i get the same result by pluging values in with that value for S.

cheers,

im very good at maths, but i find vectors very hard, any tips?
Not really, except to say that you'll get used to them. They are quite difficult at first, but so's everything. You'll get there.

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