Question

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?

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

Answer 1

See solution below

Explanation:

`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`