It is given that A⃗ −B⃗ =(−51.4m)x^,C⃗ =(62.2m)x^, and A⃗ +B⃗ +C⃗ =(13.8m)x^.
If boat 1 has a velocity that is 0.725 m/s due north, what is the velocity (magnitude and direction) of boat 2? Find the vector A⃗ . Find the vector B⃗ .
It is given that A⃗ −B⃗ =(−51.4m)x^,C⃗ =(62.2m)x^, and A⃗ +B⃗ +C⃗ =(13.8m)x^. If boat 1...
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 .
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.
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 ?
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 .
Vector A⃗ points in the negative y direction and has a magnitude of 5 units. Vector B⃗ has twice the magnitude and points in the positive x direction. Find the direction and magnitude of A⃗ −B⃗ .
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 a magnitude of 30.0 m and makes an angle of 30∘ above the positive x axis. Vector B⃗ has a magnitude of 13.0 m and is oriented 60∘ to the left of the y axis. A)Find the magnitude of A⃗ −B⃗ . B)Find the direction of A⃗ −B⃗ . C)Find the magnitude of 2A⃗ +B⃗ D)Find the direction of 2A⃗ +B⃗ . E)Find the magnitude of −A⃗ +3B⃗ . F)Find the direction of −A⃗ +3B⃗ .
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 components Ax = 1.30 cm, Ay = 2.15 cm; vector B⃗ has components Bx = 4.00 cm, By = -3.65 cm. a) Find the components of the vector sum A⃗ +B⃗ . b) Find the magnitude of the vector sum A⃗ +B⃗ . c) Find the counterclockwise angle the vector sum A⃗ +B⃗ makes with the +x axis. d) Find the components of the vector difference B⃗ −A⃗ . e) Find the magnitude of the vector difference...
Vector A⃗ has a magnitude of 4.0 units in the negative y direction. Vector B⃗ has a positive x component of 4.0 units and a negative y component of 9.0 units. A) What is the angle between the vectors? B) Determine A⃗ * B⃗