(It may help to draw a picture for this question). Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. The point with position vector a + b+ c Choose. The point with position vector (a+b+c) Choose. The point with position vector a+ b Choose.

Q: Let P(-2,–2,0), P,(1,0,–2), and P,(0, –4,–3) are three points of a triangle, Compute the vectors of…

A:

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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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: 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: Which vectors are the same? y 上平十 y y A B y y D E х

A: We solve only one problem at a time so please submit them one by one for a quick and thorough…

Q: 1 Determine a vector equation of the line passing through the points A(-2, 0, 0), and B(0, 1, –3). *…

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Q: Define the points P = (-4, 6) and Q = (2, 4). Find the position vector corresponding to På. %3D %3D…

A: We will find the position vector of PQ as following

Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10,…

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Q: 2. Below are 4 vectors in component form. Graph these vectors in standard position and then find…

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Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

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

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Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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Q: Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the…

A: Solution is given below:

Q: Let -6 -4 -3 -2 -1 a. Graph u, v, and u + on the same coordinate grid provided below. (Note: It will…

A: Given vectors are u={-1,-5} and v={ -2,2} We have to find u+v and u-2v the we have to drwan graph…

Q: Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the…

A: Given that A, B, C be three points with position vectors a, b, c respectively. Assume that the…

Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: a) An aircraft, flying in a straight line, passes through the points (-6,7,2) and (-3,2,3) measured…

A: An aircraft flying in a straight line passing through the point  and .We have to find the vector…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.