A-4.00 nC point charge is at the origin, and a second -6.50 nC point charge is on the x-axis at x = 0.800 m. Part E Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = 1.20 m. Express your answer with the appropriate units. Enter positive value if the force is in the positive x-direction and negative value if the force is in the negative x-direction. 01 μA F₂= 162.3210 9 N Submit Previous Answers Request Answer ?

2 Use the determinant of a matrix to find the area of the triangle whose vertices are (6, 1), (8,5), and (3, 1). ▸ Area = W S Enter an integer or decimal number [more..] Calculator Check Answer X 36 3 20 F3 E $ 4 D 이 C F4 R F % 5 F5 V T MacBook Air A 6 G F6 Y B & 7 H AK F7 C * 00 8 N DII FB - ( 9 F9 K M O V F10 X

Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:

Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj „ . a) The angle between i and ỹ

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Evaluate the following: a) [P., A] where A =(P + P3 + P2) 2m

Two vectors %3D 2 and B = 2 + 3 . Find the approximate angle between the vectors (-3 A ) and (2 )? .A None .B 30° .C 60°

Draw direction vectors in unit cells for the following cubic directions: a) [1 -2 3] b) [1 0 -3]

Evaluate each of the following. Assume î, ĵ, k are the unit vectors aligne with the x, y, and z axes, respectively. a. î j = d. (4î – j) · (3î + 5j – 10k) = b. k - k= c. k- î=

A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled d = 21.0 m at 8, 26.0 from the tree then turned and traveled de 11.0 m at 0₂= 140". Meanwhile, the i sister traveled ds = 17.5 m at an angle of 0-117 from the tree. The angles are given with respect to east with counterclockwise being defined as positive(Eigure 1) Figure d₁ 8₂ 1 of 4) > Part C-Distance to home After the boy has found his sister, they want to travel the shortest path home. If their home is located d, 75 m due north of the big treo, what is the magnitude and direction of the displacement from the siblings to their home, dpcH?(Eigure 4) Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis. ▸ View Available Hint(s) dBGH 0BGH Submit 195| ΑΣΦ. Η vec Review noturn to Assignment Provide…