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
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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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.
Transcribed Image Text: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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