EXERCISE SET 10.3 A In Exercises 1–26, assume that the coordinates of the points P, Q, R, S, and 0 are as follows: S(5, 9) O(0, 0) P(-1, 3) Q(4, 6) R(4, 3) For each exercise, draw the indicated vector (using graph paper) and compute its magnitude. In Exercises 7-20, compute the sums using the definition given on page 698. In Exercises 21–26, use the parallelogram law to compute the sums. 1. PO 3. SO 5. OP 7. PQ + QS 9. OP + PQ dgm 0201 2. 4. OS 6. PO 8. SQ + QP 10. OS + SQ 11. (OS + SO) + QP 12. (OS + SP) + PR 13. OP + QS For 14. OS + PO 15. SR + PO 16. OS + QO 17. OP + RQ 18. OP + QR 19. SO + RO 20. SQ + OR 21. OP + OR 22. OP + 00 23. RP + RS 24. QP + QR 25. SO + SQ 26. SQ + SR In Exercises 27–32 the vectors F and G denote two forces tha act on an object: G acts horizontally to the right, and F acts vertically vertic and 1815
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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