Given two vectors A = -1.00 î + 3.00j + 5.00k and B = 2.00j + 3.00 1.00 k, how can I find the magnitude of each vector and write an expression for the vector difference A-B, using init vectors?

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how can I find the magnitude of the vector difference A - B?

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Answer 1 · 2018-06-24T12:21:20

See solution below

$vec A = -hati+3hatj+5hatk$

$vec B = 2hati+3hatj+hatk$

For value of $vecA$ and $vecB$ ,

$|vecA| = sqrt((-1)^2 + 3^2 + 5^2)=sqrt35$

$|vecB| = sqrt((2)^2 + 3^2 + 1^2)=sqrt14$

For vector difference,
$vecA-vecB =vecR= (-1-2)hati + (3-3)hatj + (5-1)hatk$
$rArr vecR=-3hati+4hatk$

For its magnitude,
$|vecR| = sqrt((-3)^2 + 4^2$
$|vecR| = 5$