A⃗ = 10.0 @ 30°above the +x-axis; B⃗ = 12.0 @ 60°above the +x-axis; and C⃗ = 15.0 @ 50°below the +x-axis. What is the magnitude of A⃗ +B⃗ +C⃗ ?
A⃗ = 10.0 @ 30°above the +x-axis; B⃗ = 12.0 @ 60°above the +x-axis; and C⃗...
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.
Vector A⃗ is 2.80 cm long and is 60.0∘ above the x-axis in the first quadrant. Vector B⃗ is 1.90 cm long and is 60.0∘ below the x-axis in the fourth quadrant (the figure (Figure 1) Use components to find the magnitude of B⃗ −A⃗ Use components to find the direction of B⃗ −A⃗ . Sketch the vector subtraction C⃗ =B⃗ −A⃗ .
Let A⃗ = (3.0 m, 20 ∘ south of east), B⃗ = (2.0 m, north), C⃗ = (5.0 m, 70 ∘ south of west). Use a coordinate system with the x-axis to the east. Find the direction of D⃗ =A⃗ +B⃗ +C⃗ .
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.)
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
Vector A⃗ has components Ax = 1.24 cm , Ay = 2.36 cm ; vector B⃗ has components Bx = 4.03 cm , By = -3.74 cm . Find the components of the vector sum A⃗ +B⃗ Find the magnitude of the vector sum A⃗ +B⃗ Find the counterclockwise angle the vector sum A⃗ +B⃗ makes with the +x axis, in interval [0,360]∘. Find the components of the vector difference B⃗ −A⃗ . Find the magnitude of the vector difference...
Vector A⃗ has components Ax = 1.28 cm , Ay = 2.23 cm ; vector B⃗ has components Bx = 4.27 cm , By = -3.77 cm . Find the components of the vector sum A⃗ +B⃗ . Find the magnitude of the vector sum A⃗ +B⃗ . Find the counterclockwise angle the vector sum A⃗ +B⃗ makes with the +x axis. Please give your answer in the interval [0,360]∘. Find the components of the vector difference B⃗ −A⃗ . Find the magnitude...
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?
URGENT Vector A⃗ is in the direction 39∘ clockwise from the negative y-axis. The x-component of A⃗ is Ax = -15.0 m . a) What is the y-component of A⃗ ? b) What is the magnitude of A⃗ ?
Let C⃗ = (2.15 m, 15 ∘ above the negative x-axis) and D⃗ = (39.6 m, 30 ∘ to the right of the negative y-axis). Find the x-component and the y-component of C⃗ . Find the x-component and the y-component D⃗ .