:: Sketch the vector below using a prism. Label the coordinates of all the vertices of the prism. Label the axes. w =[- 3,4, 1]

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: Given the points A : (−4, −2, −3) and B : (–5, 1, –4), find the vector ú = ū AB

A: Given Points A and B is as follows

Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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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: 1. a. The points (3,-1,2) and (-1,3,-4) are the endpoints of a diameter of a sphere i. Determine the…

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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: component

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Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

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Q: csc²a = acote

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Q: Given the vectors a and b. 6. Sketch the vector a + 16

A: According to  parallelogram law of vector addition, If two vectors are represented by two adjacent…

Q: Pls help ASAP

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Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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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.