Question

1. Consider two displacement vectors ?A and ?B. Vector ?A has a magnitude of 3.0 m and a direction 30° from the horizontal. Vector ?B also has a magnitude of 3.0 m and lying along the +y axis. Find the following: (a) ?A + ?B; (b) ?A ? ?B; (c) ?B ? ?A; and (d) ?A ? 2?B. 2. After enjoying her stay in Paris, Emily wanted to head to the airport, which is 5.73 km 14° S of W from her accommodation. Before heading to the airport, she went to the souvenir shop, which is 2.15 km 32° N of W from her accommodation. She then took a meal in a café 0.8 km west of the souvenir shop. How far and in what direction should Emily travel from the café to the airport? 3. The vector sum of four forces is 1000 N in the direction 30° west of north. Three of the four forces are 400 N, 60° north of east; 200 N, south; and 300 N, 50° west of south. Determine: (a) the x-component of the fourth force; (b) the y-component of the fourth force; and (c) the magnitude and direction of the fourth force.

          1. Consider two displacement vectors ?A and ?B. Vector ?A has a magnitude of 3.0 m and a direction 30° from the horizontal. Vector ?B also has a magnitude of 3.0 m and lying along the +y axis. Find the following: (a) ?A + ?B; (b) ?A ? ?B; (c) ?B ? ?A; and (d) ?A ? 2?B.

2. After enjoying her stay in Paris, Emily wanted to head to the airport, which is 5.73 km 14° S of W from her accommodation. Before heading to the airport, she went to the souvenir shop, which is 2.15 km 32° N of W from her accommodation. She then took a meal in a café 0.8 km west of the souvenir shop. How far and in what direction should Emily travel from the café to the airport?

3. The vector sum of four forces is 1000 N in the direction 30° west of north. Three of the four forces are 400 N, 60° north of east; 200 N, south; and 300 N, 50° west of south. Determine:
(a) the x-component of the fourth force;
(b) the y-component of the fourth force; and
(c) the magnitude and direction of the fourth force.

1. Consider two displacement vectors ?A and ?B. Vector ?A has a magnitude of 3.0 m and a direction 30° from the horizontal. Vector ?B also has a magnitude of 3.0 m and lying along the +y axis. Find the following: (a) ?A + ?B; (b) ?A ? ?B; (c) ?B ? ?A; and (d) ?A ? 2?B.

2. After enjoying her stay in Paris, Emily wanted to head to the airport, which is 5.73 km 14° S of W from her accommodation. Before heading to the airport, she went to the souvenir shop, which is 2.15 km 32° N of W from her accommodation. She then took a meal in a café 0.8 km west of the souvenir shop. How far and in what direction should Emily travel from the café to the airport?

3. The vector sum of four forces is 1000 N in the direction 30° west of north. Three of the four forces are 400 N, 60° north of east; 200 N, south; and 300 N, 50° west of south. Determine:
(a) the x-component of the fourth force;
(b) the y-component of the fourth force; and
(c) the magnitude and direction of the fourth force.

Added by Karen N.

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