The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vecte P=(-9, - 3); Q= (10, – 7) What is the position vector? 19i – 4j O - 19i + 4j O 4i- 19j O - 4i+ 19j

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: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: has an initial point (-3, -6) and terminal point (4, 5). Write as a linear combination of the…

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Q: What is the component form of v?

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Q: Three points (9,-2, 4), (5,-5,3), and (7,1,-3) can be the vertices of a triangle. If you can make…

A: Vectors

Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: 1. Draw the vector V that goes from the origin to the point (-4, -6). (a) Find V (b) Write V in…

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Q: Express the vector - 14i + 8j - 8k as a product of its length and direction. - 14i + 8j- 8k =TOi+…

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Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Determine the lim g x 4+ 3+ 2+

A: we need to find the limit of g(x) as x tends to 5 in the given graph we see that the g(x) as x tends…

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

Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4xg =0 4x, + 6x2 -…

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Q: Given vector b = and vector p = find -6b + 3p

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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.