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A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitu and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. = A + B (a) magnitude direction C=A-B (b) magnitude direction (c) C = A + 4B magnitude direction C=-A-7B (d) magnitude direction ° (counterclockwise from the +x-axis) (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) (counterclockwise from the +x-axis)

A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitu and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. = A + B (a) magnitude direction C=A-B (b) magnitude direction (c) C = A + 4B magnitude direction C=-A-7B (d) magnitude direction ° (counterclockwise from the +x-axis) (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) (counterclockwise from the +x-axis)

College Physics
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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answers I got already:

a ) manitude = 37.7     direction = 50.75 

c) magnitude = 108.3   direction = 63.4

need help with b and d 

**Vector Analysis Problem** Consider a vector **A** with a magnitude of 17 (in some unspecified units) and an angle of 23° with the x-axis. Another vector, **B**, has a magnitude of 24 and forms an angle of 70° with the x-axis. Your task is to compute the magnitudes and directions of the following vectors. (a) **\(\vec{C} = \vec{A} + \vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (b) **\(\vec{C} = \vec{A} - \vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (c) **\(\vec{C} = \vec{A} + 4\vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (d) **\(\vec{C} = -\vec{A} - 7\vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) This exercise involves vector addition and subtraction. You will calculate the resultant vector’s magnitude and direction in each scenario.
Transcribed Image Text:**Vector Analysis Problem** Consider a vector **A** with a magnitude of 17 (in some unspecified units) and an angle of 23° with the x-axis. Another vector, **B**, has a magnitude of 24 and forms an angle of 70° with the x-axis. Your task is to compute the magnitudes and directions of the following vectors. (a) **\(\vec{C} = \vec{A} + \vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (b) **\(\vec{C} = \vec{A} - \vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (c) **\(\vec{C} = \vec{A} + 4\vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) (d) **\(\vec{C} = -\vec{A} - 7\vec{B}\)** - Magnitude: _______ - Direction: _______° (counterclockwise from the +x-axis) This exercise involves vector addition and subtraction. You will calculate the resultant vector’s magnitude and direction in each scenario.
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