1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two vectors: Other problems require you to provide a vector as your answer. WeBWork allows you to enter vectors either as a list of coordinates enclosed in angle braces, < and>, or as a sum of multiples of the coordinate unit vectors, i, j and k, which you enter as i, j and k. For example, <1, 3, -2> represents the same vector asi+3j-2k.What vector points from the origin to the point (4, 3, –1)?Just as you can enter a number by giving an equation that reduces to it, WeBWork allows you to enter points and vectors by giving equations for the individualcoordinates, or by using a vector-valued equation that reduces to your answer. For example,<1-(-3),2-sqrt(4),6/2> and [1-(-3)]i + [2-sqrt(4)]j + (6/2)kboth represent the vector (4,0, 3), while <1,0, -1> + <2, -2,3> could be used to answer a question that asks for the vector (3, –2, 2).Write (-3, 0, 2) as a sum of two vectors:

Given : Point : ⟨ 4 , 3 , - 1 ⟩ Sum : ⟨ -3 ,0,2⟩

Answered: 1. What vector points from the origin…

Math

Algebra

1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two vectors:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 16E

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Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two vectors:

Other problems require you to provide a vector as your answer. WeBWork allows you to enter vectors either as a list of coordinates enclosed in angle braces, < and
>, or as a sum of multiples of the coordinate unit vectors, i, j and k, which you enter as i, j and k. For example, <1, 3, -2> represents the same vector as
i+3j-2k.
What vector points from the origin to the point (4, 3, –1)?
Just as you can enter a number by giving an equation that reduces to it, WeBWork allows you to enter points and vectors by giving equations for the individual
coordinates, or by using a vector-valued equation that reduces to your answer. For example,
<1-(-3),2-sqrt(4),6/2> and [1-(-3)]i + [2-sqrt(4)]j + (6/2)k
both represent the vector (4,0, 3), while <1,0, -1> + <2, -2,3> could be used to answer a question that asks for the vector (3, –2, 2).
Write (-3, 0, 2) as a sum of two vectors:

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.

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