Transcription for Educational Website: --- **Vectors Combination Exercise** **Diagrams Explanation:** 1. **First Diagram:** - Displays two vectors on a grid. - **Vector \( \mathbf{u} \)** points to the right and upward. - **Vector \( \mathbf{v} \)** points to the left and upward. - Each vector is drawn with its tail at the origin. 2. **Second Diagram:** - Shows a single vector pointing downwards on a larger grid. - The task is to express this vector as a combination of \( \mathbf{u} \) and \( \mathbf{v} \). **Task:** Write the vector shown below as a combination of vectors \( \mathbf{u} \) and \( \mathbf{v} \) from the first diagram. \[ \text{Vector} = \Box \mathbf{u} + \Box \mathbf{v} \] **Note:** In both graphs, each box is 1 unit by 1 unit in size. For further assistance, click on the video help:

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

Q: (-1,4, 12) + (3i – 6j – 14k)

A: We get the sum of the vectors as…

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: Write the component form of the vector shown on the graph below. O O O Submit Answer

A: Given: We are required to: Find the component form of vector v.

Q: Consider the following three vectors in R³: V₁ = If b = , V₂ = 1 0 , V3 = 0 is any vector in R³,…

A: We have to explain why we can always write b as a linear combination of..

Q: Write the vector shown below as a combination of vectors u and shown above Vector = 24 u + bo 15

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Q: Complete all steps in the instructions. Add the vectors shown in the graph below. 10 不 -10 7 10 -10…

A: Given

Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

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: List as many equal vectors as possible for the diagram below: A B D E с

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Q: Pls help ASAP

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Q: Draw two vectors that will give the following vector when subtracted. Label your vectors. a + b = c…

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Q: Graph the vectors i = and u =. Then graph the vector ū + i

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