Finding a Vector In Exercises 53-56, find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ‖ u ‖ = 4 , θ u = 0 ∘ ‖ v ‖ = 2 , θ v = 60 ∘
Finding a Vector In Exercises 53-56, find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ‖ u ‖ = 4 , θ u = 0 ∘ ‖ v ‖ = 2 , θ v = 60 ∘
Solution Summary: The author calculates the x -component and y component of the u+v.
Finding a Vector In Exercises 53-56, find the component form of
u
+
v
given the lengths of u and v and the angles that u and v make with the positive x-axis.
‖
u
‖
=
4
,
θ
u
=
0
∘
‖
v
‖
=
2
,
θ
v
=
60
∘
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Use the vectors u = (7, 7), v = (-9, 6), and w = (7, -1) to find the indicated quantity.
(u.v) - (uw)
(u v) (uw) =
State whether the result is a vector or a scalar.
The result is a --Select--
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Sketch the vector ? = ⟨−2, 4⟩.
1. (Vector Operations) Consider = and = k.
(a) Find a unit vector in the opposite direction as a.
(b) Is the figure determined by and a rectangle or a parallelogram? Justify your answer.
(c) Find the area of the figure from (b).
Chapter 11 Solutions
Student Solutions Manual For Larson/edwards? Multivariable Calculus, 11th
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