How do I answer this maths problem ?

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How do I answer this maths problem ?

Postby powelstag » Tue Feb 23, 2010 3:43 pm

How do I answer this maths problem on vectors in component form?
Could someone please solve and explainl.
The question is:

If a = 2i + 3j & b=3i - 4j & c = 2i + j then find x and y such that c= xa + yb.
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Re: How do I answer this maths problem ?

Postby convert-me.com » Wed Feb 24, 2010 1:20 am

powelstag wrote:How do I answer this maths problem on vectors in component form?
Could someone please solve and explainl.
The question is:

If a = 2i + 3j & b=3i - 4j & c = 2i + j then find x and y such that c= xa + yb.


The i and j components are independent and can be calculated separately:
The i component: 2 = 2x + 3y
The j component: 1 = 3x + 4y

From the first equation we get x = (2-3y)/2, and then 1 = 3/2(2-3y) + 4y, or 1 = 3 - 4.5y + 4y, or 0.5 y = 2, i.e. y = 4
Then x = (2-3*4)/2 = -5
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