
Yefim S. answered 04/14/21
Math Tutor with Experience
projqp = p•q/IqI = (3(-4) + 6(5) - 22(-20))/(16 + 25 + 400)1/2 = 458/21.
Vector projection is projqp·q/IqI = 458/21·<-4,5,-20>/21 = 458/441·<-4,5,-20>
Sara P.
asked 04/14/21For the vectors p = (3,6,-22) and q = (-4,5,-20), determine the scalar and vector projections of p onto q. Show all steps please.
Yefim S. answered 04/14/21
Math Tutor with Experience
projqp = p•q/IqI = (3(-4) + 6(5) - 22(-20))/(16 + 25 + 400)1/2 = 458/21.
Vector projection is projqp·q/IqI = 458/21·<-4,5,-20>/21 = 458/441·<-4,5,-20>
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Sara P.
Sorry its a little confusing, would you mind explaining what you did? Thank you so much. And could you point out which are the vectors? Because I'm not so sure.04/14/21