A Level Further Maths- FP1 Vector Product

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liamlarner
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#1
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#1
Would the fact this vector has magnitude 5 not change anything and essentially is it asking you to just find the vector product to show its perpendicular to 4i+k and √ 2j +k or does the magnitude change the calculation.

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user342
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(Original post by liamlarner)
Would the fact this vector has magnitude 5 not change anything and essentially is it asking you to just find the vector product to show its perpendicular to 4i+k and √ 2j +k or does the magnitude change the calculation.

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I would find the vector perpendicular to those, without considering the magnitude first. Then find the magnitude of this vector and see what you have to multiply/divide the vector by the make the magnitude 5. Not the greatest explanation so lmk if it doesn't make sense
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liamlarner
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(Original post by user342)
I would find the vector perpendicular to those, without considering the magnitude first. Then find the magnitude of this vector and see what you have to multiply/divide the vector by the make the magnitude 5. Not the greatest explanation so lmk if it doesn't make sense
alright thanks
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B_9710
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You are basically just finding  5 \frac{(4,0,1) \times (0, \sqrt 2 , 1)}{ ||(4,0,1) \times (0, \sqrt 2 , 1)||} .
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liamlarner
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(Original post by B_9710)
You are basically just finding  5 \frac{(4,0,1) \times (0, \sqrt 2 , 1)}{ ||(4,0,1) \times (0, \sqrt 2 , 1)||} .
yeah I've done it now was best by not considering magnitude till later on in the question as the earlier respondent to this thread advised
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