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9. 0 -17.14ints SerPSE 103 AP 041 A veater is given by R = 1.70 i + 0.600 i + 3.07 (a) Find the magnitudes of the x, y, and a components. X (b) Find the magnitude of R. (C) Find the angle between R and the x axis, Find the angle between R and they axis. Find the angle between R and the z axis. Need Help? Read it Type here to search
For the three-dimensional vector r = 1.481 + 2.69j + 3.29k, determine the following (a) magnitude of the vector r 4.50 (b) angle α between the vector r and the positive x axis angle B between the vector r and the positive y axis angle y between the vector r and the positive z axis
ite 9) Vector A has x component Ax = -10.0 m. Ã makes an angle of 32.0° clockwise from the-y axis. wne d silt ahal B = -2.00 m î + 6.00 m j – 3.00 m k, and C = 2.00m i + 3.00m j – 6.00m k. Vector D = Å + B. Find the angle between vectors C and D.
Find the derivative, r'(t), of the vector function. r(t) = eti- j+ln(1 + 7t)k r'(t) = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. T = 5e, y = te, c = tetp:/5, 0, 0) x(t), y(t), z(t) =
Consider the following vectors. A = (1.70 m) î + (3.00 m) Î B: 3.90 m, at +65.0° C = (-4.00 m) i – (5.70 m) Î Õ: 5.00 m, at -230° (a) What is the sum of the four vectors in unit-vector notation? (b) What is the sum of the four vectors as a magnitude and an angle? magnitude direction • (counterclockwise from the positive x axis) m
Vector J has a magnitude of 3 and vector K has a magnitude of 7. They are separated by an angle of 9 degrees. Find the magnitude of the following: J * K (Dot product) J x K (Cross product)
Vector field F = î 3y + ŷ (5 – 2x) + î (22 – 2) is given. Find: (e) The surface integral of the normal component of the curl of F over the open hemisphere x + y2 + z = 4 above the x-y plane.
Evaluate the line integral ∫ F *dr where C is given by the vector function r(t). F(x, y, z) = (x + y2) i + xz j + (y + z) k, r(t) = t2i + t3j − 2t k, 0 ≤ t ≤ 2
A particle P travels with constant speed on a circle of radius r = 2.40 m (see the figure) and completes one revolution in 20.0 s. The particle passes through O at time t = 0. At t = 5.00 s, what is the particle's position vector? Give (a) magnitude and (b) direction (as an angle relative to the positive direction of x. At t = 7.50 s, what is the particle's position vector? Give (c) magnitude and (d) direction...
a.what is the magnitude of the vector A+B+C? b.what is the angle between the positive x-axis and the vector, measured clockwise in degrees? c.What is the magnitude of the vector -A+2B+C? d. What is the angle between the negative x-axis and this vector, measured counterclockwise in degrees? (2006) Problem 9: Consider the three vectors shown in the figure. They have magnitudes A|-30.5, B|-13, and IC|-332, and the labeled angles are A- 40°, ев 20°, and ec-15° Note that the figure...