2. Consider the following vector 1 v= = [1, 0, √6 (a) Write a projection on this vector. Proof your claim! (b) Write the complement projection. Proof your claim! -1, 2]¹.

Q: 1. Electromagnetic waves have a fixed relation between the electric and magnetic fields E, B, and…

A: Use right hand thumb rule ( turn right hand from electric field to magnetic field, thumb gives you…

Q: Ex Look at the fixed point (1,11 of [x = x-y lý -1-xy Jacobian: J(x, y) = (y _x) J(₁, 1) = (1 - 1)…

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Q: Let m (1, 2, 3) and n (5, 3,-2). Find the vector projection of m onto n, that is, find proj- m. You…

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Q: Suppose that P = is a position vector. What is the equation of the horizontal plane that passes…

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: ri If the vector 2i – 6j is perpendicular to the vector 2 + 5j in R2, what is r?

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Q: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: Use the given pair of vectors, v= 7i+8j , w= -8j , to find the following quantities. State whether…

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Q: Find the projection of a on the plane P if a 4 and P has the equation x + y + z = 1.

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Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.

Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: *-[1]-[1] (b) x= -09--0 (d) x = B--- =x (J),

A: (a).    x=21  ,  y=-1  1 (b).    x=    1   4-3  ,   y=513 (c).    x=   3-4   5  ,  y=-1  0  1 (.)…

Q: Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad…

A: Vector is defined as a phenomenon or quantity that has the property of both magnitude and direction.…

Q: 5. Complete the table with the points of the image by applying the vector (-3, 5). Preimage A (-1,…

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Q: How could you describe vector subtraction geometrically?

A: We have write about  vector subtraction geometrically

Q: Q1(A): 19 Marks] Two vectors A and B are located at Pi(2,2,2) and P2(2,-2,-2). Write vector notation…

A: Two vectors A and B are located at P(2,2,2) and P2(2,-2,-2). Write vector notation for each starting…

Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

A: