In (Figure 1), the charge q = 3.09 x 10-9 C. Part A Find the electric potential at x = 0.450 m. Express your answer to three significant figures and include appropriate units. TH HẢ Value Units Submit Request Answer Part B Find the value of x between 0 and 1.00 m where the electric potential is zero. Express your answer to three significant figures and include appropriate units. Figure < 1 of 1 HA 圖] -2q +5q Value Units -1.00 m 1.00 m Submit Request Answer

answer for D and E

Use the Levi-Civita tensor to prove the following vector identities: [(A x B) x (C x D)] = [(A x B) . D] C - [(A x B) . C] D A x (B x C) = (A . C) B - (A . B) C

a

Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.

A swimmer swims across a river at a velocity of 0.8 ms-1 in a direction perpendicular to the river banks. The water flows down the river at 0.6 ms-1. Find the resultant velocity of the swimmer and the direction.

Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂

An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles, the pilot turns 90° and heads toward the northwest. After the plane goes 4 miles in this direction, what bearing has the plane from the terminal?

Solution for part D and E only

Let E = 21 +3j and F = 11 - 3j. ▼ Part A Find the magnitude of E. ► View Available Hint(s) E = Submit Part B 17| ΑΣΦ Find the magnitude of F. ► View Available Hint(s) F = IVE ΑΣΦ Submit ? ?