Question
Can someone start me off on these and please explain step by step how you got everything because I'm having difficulty understanding the entire concept.
Find the projection of u onto v and calculate its magnitude.
a) u = (2,5) v = (6,4)
b) u = (3, 6, -2) v = (-4, 3, 8)
2) If u and v are non zero vectors, but Projection (u unto v) = 0, what conclusion can be drawn?
Would that also mean Projection (v unto u) = 0?
3) Find the projection of PQ onto each of the coordinate axes, where point (2,3,5) and Q is the point (-1,2,5).
Find the projection of u onto v and calculate its magnitude.
a) u = (2,5) v = (6,4)
b) u = (3, 6, -2) v = (-4, 3, 8)
2) If u and v are non zero vectors, but Projection (u unto v) = 0, what conclusion can be drawn?
Would that also mean Projection (v unto u) = 0?
3) Find the projection of PQ onto each of the coordinate axes, where point (2,3,5) and Q is the point (-1,2,5).
Answers
bobpursley
It is said simply here
http://www.math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/dotprod/dotprod.html
If the projection is zero, the dot product is zero, and thelines are perpendicular.
http://www.math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/dotprod/dotprod.html
If the projection is zero, the dot product is zero, and thelines are perpendicular.