Write the component form of v, given the vector has an initial point Pand a terminal point Q. P(3,-2) and Q(5,-5)

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is…

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Q: A rocket ship in space is not moving. The ship's crew performs a rocket burn which can be described…

A: The objective of the question is to understand the concept of vector addition and subtraction in the…

Q: Find the components of the vector with the initial point P and terminal point P,. P1(-5, 9); P2(2,…

A: Topic - vectors Vector P1P2 =vector P2 - vector P1

Q: Determine whether the vectors v₁ =(4,-8, 12), and v₂ = (-5, 10, 15) are linearly independent; if…

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Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: Write the vector (1, 2, –1) as a linear combination (if possible) as of the vectors (-1,2, 1), (2,…

A: Solution: The objective is to determine whether the given vector is linear combination of the given…

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9, 3), v = (-2,…

A: The given two vectors are u=9, 3 and v=-2, 6 We have to determine whether the given two vectors are…

Q: Find the vector equation of the line that goes through the point (18, 11, 20) and is perpendicular…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-5,5,-5)…

A: We have to check whether the following vectors are orthogonal, parallel or neither.Orthogonal: Two…

Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

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.