Vectors are used in computer graphics to calculațte the lengths of shadows over flat surfaces. The length of an object can sometimes be represented by a vector a If a light source is shining down on the object, then the length of its shadow on the ground will be equal to the absolute value of the component of the vector a along the of the ground, as shown in the figure. Compute the length of the shadow for the specified vector a if the ground is level. (Round ygur answer to one decimal place.) a = (1.3, 8.9)

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…

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Q: What do coordinates mean?

A: Coordinates are set of points that defines exact position of a point in XY-plane.

Q: (-1,4, 12) + (3i – 6j – 14k)

A: We get the sum of the vectors as…

Q: Sketch the vector as a position vector and find its magnitude. v = 5i + 2j

A: given vector:-    v = i + 5j magnitude of vector    ||v|| = √(12 + 52) = √26 So,        magnitude of…

Q: Write the vector v in the form ai + bj, given its magnitude v and the angle a it makes with the…

A: To write the vector v in the form ai+bj, given its magnitude v and the angle α it makes with the…

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: Which vector has an x-component with a length of 4? -5 A. C B. b C. d O D. a PREVIOUS 19 10

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Q: r(t) = (x(t), y(t), z(t)) where x(t) = – 4t2 – 5t – 3 y(t) = 5t² + 5t +3 z(t) = – 5t? - | '(t) =…

A: Here, we need to find the binormal vector B. We are given that r(t)=<x(t), y(t), z(t)> where…

Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

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Q: For the given position vector, write its equivalent in the spaces provided. Express all angles in…

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Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

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: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

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Q: Find the component of a in the direction of b. NOTE: Enter the exact answer. a = [4,4, 4], b = [5,…

A: To find the component of a in the direction of b

Q: Reflect AB over the x-axis and rotate 90° about the origin.

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Q: Name the vector that describes the translation in the diagram. ty B B C A' O O O

A: We have to find the vector

Q: QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point…

A: A point that the line goes through and a vector that is parallel to the line

Q: The three vertices of a triangle are at A (7,-1,3), B (-3,3,-4) and C(-3,1, 5). Find: (use Dot…

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Q: upuates Reduy Some apps currently in use are preventing automatic updates. Two 30-pound forces are…

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Q: Find the length and direction of (1, –4, –5). Length is Direction is

A: See attached file for a step by step explanation to find the length and the direction of vector.

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: To enter vectors use the less than symbols from the keyboard and separate the components with a…

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Q: Show with an Argand diagram that the law for adding complex numbers is the same as the parallelogram…

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Q: A. Determine if p=9i-6j-24k and =(-15,10,40) are parallel, orthogonal or neither. B. Determine the…

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