Vector

NAME DATE PERIOD 8-3 Practice Dot Products and Vector Projections Find the dot product of u and v. Then determine if u and v are orthogonal. 1. u = (3, 6) , V = (-4, 2 ) 2. u = -i+ 4j, v =3i -2j 3. u = (2, 0), v= (-1, -1) Find the projection of u onto v. Then write u as the sum of two orthogonal vectors, one of which is the projection of u onto v. 4. u = (4, 8) , v = (-1, 2) 5. u = (62, 21) , v= (-12, 4) 6. u = (-2, -1) , v= (-3, 4) 7. PHYSICS Janna is using a force of 100 pounds to push a cart up a ramp. The ramp is 6 feet long and is at a 30 angle with the horizontal. How much work is Janna doing in the vertical direction? (Hint: Use the sine ratio and the formula W = F . d. ) 8. CARNIVALS A slide at a carnival has an incline of 60. A 50-pound girl gets part way down the slide and stops. Ignoring the force of friction, what is the magnitude of the force that is required to keep her from sliding down farther? 17 Glencoe Precalc Chapter 1 560