Let’s practice drawing some vectors. One the axes below, start at the origin and draw the given component vectors and the resultant vector. Each line is one unit (c) |vx| = −3, |vy | = −5

Convert the following Vectors given in polar coordinates (r, q) to the equivalent Vector in cartesian coordinates (x, y). Check significant figures.     C =  (12.0, 34) b.      F = (5.00, 45.0o )

As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector r, which has a length of 7.2 m and a direction 30 degrees east of south. Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement r, who could have then kicked it to the goal along a displacement vector r, as shown. Find the magnitudes and directions of r, and r, W- E 30.0° Net 90° Tx (a) rx magnitude direction ---Select--- V (b) Ty magnitude m direction ---Select---V

Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of  west).  Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east.  b. Write A, B, and C in component form, using unit vectors.  c. Find the magnitude and the direction of D = A + B+ C.

Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)

Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B? b. What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?

Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form (U‚Î + U‚ĵ) N = U₁ =

Page 3 of 8 3. Vector A has a magnitude of 13.6 and is at an angle of 30.5° counterclockwise from the +x- axis. Vector B has a magnitude of 25.1 and is -50.3° from the +x-axis. a. Express the vectors in the unit vector notation and b. find the angle between them.

Problem 3.25 Vector A points in the positive à direction and has a magnitude of 75 m. The vector C = A + B points in the positive y direction and has a magnitude of 95 m Part A Sketch A, B, and C. Draw the vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will be graded. +ΙΣ 0 Ć Vector C A Vector A Length: 83 Angle: 53 Start point x:-y:- End point x-y:- ▾ * Press ESC to return to the main menu. Press [CTRL+Q] to quit the application. (Q)

What is the resultant vector of the following vectors? Write your answer as xy. Leave na spaces. Right and Up are positive.