SOLUTION: Evening All, Stuck on this vectors problem. a) In cartesian coordinates, the vector a has cartesian components (4,-2,3) and the vector b cartesian components (-2,3,1). Express a

Algebra ->  Length-and-distance -> SOLUTION: Evening All, Stuck on this vectors problem. a) In cartesian coordinates, the vector a has cartesian components (4,-2,3) and the vector b cartesian components (-2,3,1). Express a      Log On


   

Question 364496: Evening All, Stuck on this vectors problem.
a) In cartesian coordinates, the vector a has cartesian components (4,-2,3) and the vector b cartesian components (-2,3,1). Express a nd b in terms of the unit vectors i, j and k.
Find ¦a¦, ¦b¦, a, b and 3a-2b
b) Given a=6i+2j+k and b= -i-4j+2k, express a and b in terms of Cartesian components. Find ¦a¦, b¦, a, b and 2a+b
Thank you for your time
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a=(4,-2,3)
b=(-2,3,1)
a=4i-2j%2B3k
b=-2i%2B3j%2Bk
abs%28a%29=sqrt%284%5E2%2B%28-2%29%5E2%2B3%5E2%29=sqrt%2816%2B4%2B9%29
abs%28b%29=sqrt%28%28-2%29%5E2%2B3%5E2%2B1%5E2%29=sqrt%284%2B9%2B1%29
3a-2b=(3%284%29-2%28-2%29,3%28-2%29-2%283%29,3%283%29-2%281%29)
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b)
a=6i%2B2j%2Bk
b=+-i-4j%2B2k
a=(6,2,1)
b=(-1,-4,2)
abs%28a%29=sqrt%286%5E2%2B2%5E2%2B1%5E2%29=sqrt%2836%2B4%2B1%29
abs%28b%29=sqrt%28%28-1%29%5E2%2B%28-4%29%5E2%2B2%5E2%29=sqrt%281%2B16%2B4%29
2a%2Bb=(2%286%29%2B%28-1%29,2%282%29%2B%28-4%29,2%281%29%2B2)