Vectors: Find the vector from the point (4, 1, 2) to the point (10, 4, –4).Enter the coordinates:)Equations of lines: Consider the vector equation of the line through the twopoints listed above. For each equation listed below, answer T if the equationrepresents the line, and F if it does not. Here is the list of questions:1. (х, у, 2) —= (4, 1, 2) + t (-6, –3, +6)2. (x, y, z) = (10, 4, –4) + t (6, 3, -6)3. (г, у, г) — (10, 4, —4) + t (4,1, 2)6-4. (x, y, z) = (4, 1, 2) +t (6, 3, –6)5. (x, y, z) = (4, 1, 2) +t (10,4, –4)

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Vectors: Find the vector from the point (4, 1, 2) to the point (10, 4, –4). Enter the coordinates: )

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 6PS

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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

Vectors: Find the vector from the point (4, 1, 2) to the point (10, 4, –4).
Enter the coordinates:
)
Equations of lines: Consider the vector equation of the line through the two
points listed above. For each equation listed below, answer T if the equation
represents the line, and F if it does not. Here is the list of questions:
1. (х, у, 2) —
= (4, 1, 2) + t (-6, –3, +6)
2. (x, y, z) = (10, 4, –4) + t (6, 3, -6)
3. (г, у, г) — (10, 4, —4) + t (4,1, 2)
6-
4. (x, y, z) = (4, 1, 2) +t (6, 3, –6)
5. (x, y, z) = (4, 1, 2) +t (10,4, –4)

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