Three vectors V₁, V2, V3 originate from a single point. The vector V₁ is on the x-y plane, at an angle of 30deg counter-clockwise from the positive x axis and has a magnitude of 500 units. The vector V₂ is on the y-z plane at an angle counter-clockwise from the positive y axis such than tan 0= 3/4 and has a magnitude of 400 units. Vector v3 has a magnitude of 800 units. If the direction of the resultant vector is defined by the unit vector UR = cos 30° j + sin 30° k. (A) Determine the coordinate angles of v3. (B) Determine the magnitude of resultant vector. Report results in three significant figures.

Three vectors V₁, V2, V3 originate from a single point. The vector V₁ is on the x-y plane, at an angle of 30deg counter-clockwise from the positive x axis and has a magnitude of 500 units. The vector V₂ is on the y-z plane at an angle counter-clockwise from the positive y axis such than tan 0= 3/4 and has a magnitude of 400 units. Vector v3 has a magnitude of 800 units. If the direction of the resultant vector is defined by the unit vector UR = cos 30° j + sin 30° k. (A) Determine the coordinate angles of v3. (B) Determine the magnitude of resultant vector. Report results in three significant figures.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Three vectors V₁, V2, V3 originate from a single point. The vector v₁ is on the x-y plane, at an
angle of 30deg counter-clockwise from the positive x axis and has a magnitude of 500 units. The
vector v₂ is on the y-z plane at an angle counter-clockwise from the positive y axis such than
tan 0= 3/4 and has a magnitude of 400 units. Vector V3 has a magnitude of 800 units. If the
direction of the resultant vector is defined by the unit vector Ug = cos 30º j + sin 30º k.
(A) Determine the coordinate angles of v3.
(B) Determine the magnitude of resultant vector. Report results in three significant figures.

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