Question

Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10, 5), and G(-5, 0): k = 1/5

A) D' (5, 15)
B) E' (10, 10)
C) F' (10, 5)
D) G (5, 0)

Answer 1

To find the displacement vector G, we need to add vectors A, 2B, and -F. We can find the components of each vector using their magnitudes and direction angles, and then use these components to find the components of vector G. Finally, we calculate the magnitude and direction of vector G.

Step-by-step explanation:

To find the displacement vector G, we need to add vectors A, 2B, and -F.

Given that vector A has a magnitude of 10.00 and an angle of 35° with the horizontal direction, its components are:

• Ax = 10.00 * cos(35°)
• Ay = 10.00 * sin(35°)

Vector B has a magnitude of 7.00 and an angle of -110° with the horizontal direction, so its components are:

• Bx = 7.00 * cos(-110°)
• By = 7.00 * sin(-110°)

Vector F has a magnitude of 20.00 and its components are:

• Fx = 20.00 * cos(110°)
• Fy = 20.00 * sin(110°)

Adding the components of A, 2B, and -F, we get the components of vector G:

• Gx = Ax + 2Bx - Fx
• Gy = Ay + 2By - Fy

Using these components, we can find the magnitude and direction of vector G.