1. What is the magnitude of the resultant? 2. What is the angle describing the direction of the resultant relative to the positive x-axis?

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The magnitude V1 is 6.2 and it points along the negative x axis, while the magnitude V2 is 8.0 and it points at 40 degrees counter clockwise from the positive x axis.  A. What are the x and y components of vector V1? B. What are the X and Y components of vector V2? C. Determine magnitude of the sum V1+V2 D. Determine the angle of the sum V1+V2, measured counter clockwise from the positive x axis.

1. Create four vectors. Then perform vector addition A+B+C+D. 2. Using the vectors you created in number 1, perform (A-B) + C. 3. What are the x- and y- components of vector A if its magnitude is 6 m and angle 0-30 degrees. 4. Stephen Curry hit once again a three pointer. To celebrate, he ran, from the shooting point, 2 km south and then 3 km west. How far and in what direction is he from the shooting point? 5. Given the two displacements D= (5.00i+2.00j-3.00k) and E= (6.00i+3.00j+2.00k), find the magnitude of the displacement 4D-2E. 6. A postal employee drives a delivery truck along the route shown in Fig. E1.21. Determine the magnitude and direction of the resultant displacement. vector addition.png

4. Suppose you leave you house, hike 2.0 mi due east, then 3.0 mi due north, and then 6.0 miles 30 north of west to your favorite tree. Find the total displacement, magnitude and direction, from your house to the tree. 6 mi 30° 2m² 3 mi

4. Three vectors are shown in the figure below (not drawn to scale). If |Ã = 12 units, B = 15 units, C = 16 units, 0₁ = 40°, and 0₂ = 30°, determine the magnitude and direction of A. The resultant of the three vectors B. A-2B + 3C y K 0₂ 0₂₁₂ 100 X

1. Illustrate the given vectors (in rough estimation and with complete labels). Calculate the magnitude and direction (for the 2D vector only) and magnitude only for the 3D vector. Declare your final answers with correct number of significant figures. (i) Ā = -sî – 2j (ii) S = fî + 4f – 4k

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1. Determine the magnitude of the vector sum V and its angle with respect to x-axis. Present both graphical and algebraic solutions y V₂ = 21 units ! 1 3 30° V₁ = 27 units

3. A hiker walks 1.5 km at an angle of 48 degrees north of east 7, and then hikes 3.0 km at an angle of 30 degrees north of west . What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph. Magnitude (from graph): Direction (from graph): Magnitude (mathematical): Direction (mathematical):