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The dot product: angle between vectors and projections — Homework
Compute the dot product first, then decide whether you need an angle, an orthogonality check, or a projection.
- 1.Find the dot product of u=<2,5> and v=<-5,2>, and state what it tells you.
- 2.Find the angle between u=<1,0> and v=<1,sqrt(3)>.
- 3.Find the projection of v=<5,0> onto u=<3,4>.
- 4.Two forces, 60 N due east and 90 N due north, act on an object at the same time. Find the magnitude and direction (angle from the 60 N force) of the resultant force.
- 5.Explain why a vector projection is always a scalar multiple of the vector you are projecting onto.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 30 homework