Gizmo Warm-up A vector is a representation of something with both size, or magnitude, and direction. For example, a moving car can be represented by a vector because the car has both speed (magnitude) and direction. On a graph, vectors are represented by arrows. The base of the arrow is the initial point and the tip of the arrow is the terminal point. 3 2 D 2 1. Drag the initial point (the circle) of vector a to the origin. This vector is now said to be in standard position. Notice the components of a shown in brackets like this: <_, _>. What are the components of a?. 2. Drag the initial point of vector a around. A. Does this change the components of a?. B. Compare the coordinates of the initial and terminal points of a to its components. How can you find the components of vector a?

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: Find the component form of the given vector. V = 7 Your answer cannot be understood or graded. More…

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Q: What is the ordered pair that represents AB +AC ?

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Q: Vectors r, s, t, u, and v are shown on the graph.

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Q: No elements selected 1₁ 1.

A: First we shift the vector D without changing its direction and length so that it's initial position…

Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

Q: Two points and a vector are given. Determine which point is the initial point and which point is the…

A: Vector is obtained by subtracting the initial point from the terminal point. Let P be the initial…

Q: What is v − u

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Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O…

A: Given query is to find the area of parallelogram.

Q: Can Someone help me with the math question in the picture?

A: The objective of the question is to find the result of the scalar multiplication of a vector. Scalar…

Q: 4. Let ā = (1, 4) and b = (3, 1). Draw a diagram with a, 6,-3ã, ā + 6, a – 6. Include the lengths of…

A: Given

Q: Sohe nin(x+y) + cos(x+y) Solve = sin

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Q: U р < < S < Match the vectors p, q, r, s, and t'with one of the combinations of the u and 7 vectors…

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Q: Using the diagram below, write AG using at least two other vectors. Use only AB, AD, and AE in your…

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Q: Use the diagram to the right to answer questions 5 and 6. 5. Which of the following are equal…

A: We have to check

Q: Write, in your notebook, which vectors are represented in the Cartesian plane.

A: We know that, the position vector AB → between the points Ax1,y1 and Bx2,y2 is given by  AB→=x2-x1…

Q: Learning Goal: To practice addition of vectors. Vectors are quantities that possess both magnitude…

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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: Tick the correct boxes. All of them talk about 3-dimensional coordinates. i. Orthogonal coordinate…

A: We will tick the correct statement in the below steps:

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