Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.98 and angle θA = 27.1 ∘ measured in the sense from the +x - axis toward the +y - axis, B⃗ with B = 4.06 and θB = 60.6 ∘, and C⃗ with magnitude C = 6.00 and in the +z - direction. Vectors A⃗ and B⃗ are in the xy-plane.
Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.98 and angle...
Vector A⃗ has magnitude 8.80 m and is in the xy-plane at an angle of 128 degrees counterclockwise from the +x–axis (38 degrees past the +y-axis). The sum A⃗ +B⃗ is in the −y-direction and has magnitude 12.0 m. a) What is the magnitude of vector B⃗ ? b)What is the direction angle of vector B⃗ measured counterclockwise from the +x-axis?
A⃗ is 75.0 m long at a 28∘angle with respect to the +x axis. B⃗ is 45.0 m long at a 56∘ angle above the -x axis. 1)What is the magnitude of the sum of vectors A⃗ and B⃗? (Express your answer to two significant figures.) 2)What is the angle with the +x axis of the sum of vectors A⃗ and B⃗ ? (Express your answer to two significant figures.)
Consider vectors A⃗ = 2.0 ι^ + 3.0j^ and B⃗ = -4.0ι^ + 5.0 j^. 1. Calculate A⃗ + B⃗ . Express your answer as xι^+yj^. 2. Calculate A⃗ - B⃗ . Express your answer as xι^+yj^. 3. If the direction (but not the magnitude) of B⃗ is allowed to change by any amount you like, how large can |A⃗ + B⃗ | be? 4. If the direction (but not the magnitude) of B⃗ is allowed to change by any amount you like, how small can |A⃗ +...
Vector A⃗ has a magnitude of 29 m and makes an angle of 30∘ above the positive x axis. Vector B⃗ has a magnitude of 10 m and is oriented 60∘ to the left of the y axis. Find the magnitude and direction of: a) A⃗ − B⃗ b) 2A⃗ + B⃗ c) −A⃗ + 3B⃗
Problem 6: Problem 1.86 in Young &Freedman Later in our study of physics we will encounuanties represented by (AxB) c. (a) Prove that for any three vectors A, B, and C, the equality A . (BX C)-ИХ B) . C holds (b) Calculate (AX B) . C for vector A with magnitude A-5.00 and angle θ,-26.00 (measured from the +x-axis toward the +y-axis), vector B with B = 4.00 and θ,- 63.0% and vector C with magnitude 6.00 and in...
Vectors A and B lie in an xy plane. A has magnitude 8.5 and angle 101 degrees relative to +x direction; B has components Bx= -8.32 and By= -6.42. What are the angles between the negative direction of the y axis and (a) the direction of A (b) the direction of the product A x B, and (c) the direction of A x (B + 3.00k)? Chapter 03, Prablem 047 What are the angles between the negative relative to +薫direction;...
You are given three vectors: A has a magnitude of 14.6 and is at an angle of 40° counterclockwise from the positive x -axis. B has a magnitude of 4.3 and makes an angle 200 counterclockwise of the positive y-axis. C has a magnitude of 7.2 and makes an angle of 15° clockwise from the positive x -axis. 5. a. Get the x and y components of A , B, and C. Write the three vectors with unit vector notation....
You are given three vectors: A has a magnitude of 14.6 and is at an angle of 40° counterclockwise from the positive x -axis. B has a magnitude of 4.3 and makes an angle 20° counterclockwise of the positive y-axis. C has a magnitude of 7.2 and makes an angle of 15° clockwise from the positive x -axis. 5. a. b. c. Get the x and y components of A , B, and C. Write the three vectors with unit...
4 Consider the three displacement vectors sh wn in the figure: Vector A has a magnitude of 8.30 km and a direction that makes an angle #2 230 to the left of the positive y-axis, vector B has a magnitude of 6.00 km and a direction that makes an angle of a 340 above the positive x-axis, and vector has a magnitude of 4.20 km and a direction that makes an angle B 63.0 below the negative x-axis. Determine the...
Vectors A and B lie in an xy plane. A has magnitude 5.2 and angle 109° relative to+x direction; B has components B,x4.65 and By-8.45. What are the angles between the negative direction of the y axis and (a) the direction of A , (b) the direction of the product A × B , and (c) the direction of AXB3.00 k? (a) Number Units (b) Number Units (c) Number Units Attempts: 0 of 5 used Check Answer