Vector A (in the first quadrant) is 20m long and it makes an angle of 30° with the x-axis. Vector B (in the second quadrant) is 10m long and makes an angle of 35° with the y-axis. A) Find the components of these two vectors B) Use the components to find the components of the sum of the two vectors C) Use what you found in the second part to find the magnitude of the sum D) Also find the components, magnitude and the direction of 3vectorA-vectorB

Knowledge Check: Drawing a Vector, Problem Please answer the following question(s): In this problem we practice drawing vectors that are combinations of other vectors. You will graphically combine the vectors 2A-1/2 B to find the resultant vector R. Find the resultant vector R=2A-1/2 B from the selection of vectors provided below. Place vectors at the location starting from the blue dot and keeping the order of addition as 2A-1/2 B. Finally, use the R the resultant vector starting from the blue dot. (The answer to this problem is on the next page, Drawing a Vector, Solution.) 1. Use the graphical method to construct the vector 8 R = 2A B 2. Place the vectors tail to head 3. Start from the point indicated in blue 4. Draw the resultant vector R -12 1/4 -8 -10 12 B A -6 -A -2 711 2 B 6 R 2 -2 2 4 6 8 10

Time left 0:36:13 If two vectors, ₁ and ₂, are given in terms of magnitude and direction, a resultant can be calculated by performing a 1 21 number of steps. To determine the resultant, you must correctly order the steps below. 1. Calculate the direction of the resultant using the appropriate trigonometric ratio. 2. Draw the resultant vector using the Xtotal component and the total component, remembering to include positive or negative directions. 3. Calculate the resultant magnitude using the Pythagorean Theorem, c² = a² + b². 4. Use a vector diagram and trigonometric functions to convert the vectors to their component forms. 5. Add the components (Xtotal = X1 + X₂) and (Vtotal = 1 + y₂), remembering to include positive or negative directions. The order of steps, starting from the first step and ending with the last step, to determine the resultant is: In calm water, Kris can paddle at a speed of 4.25 m/s. Kris aims the canoe directly across the Bow River where the downstream / Kriss…

An object is seen moving through following positions. = (0, 1) m 1 = (2, 0) m 2 = (5, – 3) m - a) Draw a picture b) Find the displacement vector for each step: Ao1 and Ař12 c) Find the total displacement: A02. (A: 5£ – 4ŷ) - d) Find the distance between the starting and ending points. (A: V41 m) e) Find the total distance travelled by the object. (A: 6.48 m)

5. Multiplying a vector by a scalar: The vector A is drawn on the grid. a. Draw and label the vector B-3A on the grid. b. Draw and label the vector =-34 on the grid. c. Write the vector in component vector form. d. What happens to the direction when you multiply a vector by a negative scalar? 7 grid spacing - 2m