4 Lety= H 13 AN 0 3 Find the distance from y to the subspace W of Rª spanned by v, and v₂. given that the closest point to y in Wisy= The distance is (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: For what values of z and y is orthogonal to both (-1 and

A: Remark: We know that two vectors are orthogonal if they are perpendicular to each other. i.e., the…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the dot product of the following vectors →uu→ and →vv→.. Refer to image below →uu→ ⋅⋅…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Orthogonal component of AP →=AP⇀sinθ we know AB⇀×AP⇀= AB⇀AP⇀sinθ

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: 2) The distance between the parallel planes ax + by + cz + d1 = 0 and |d1-d2| ax+by+cz + d2 = 0 is…

A: We find required equations of plane parallel to given plane.

Q: Let a = (0, 2) and b = (- 5, 1). %3D %3D | Find the angle between the vector, in degrees.

A: Given vectors are: a→=0, 2 and b→=-5, 1

Q: For each of the following sets of vectors in a 3- dimensional space, describe the span of the…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

A: Given vectors are  a={4,5,0} and b={1,0,3} We have to find a×b

Q: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Find the distance from the point P(-3, 1,4) to the line through A(1, 1, 0) and B(-2, 3,-4).

Q: Consider the following function. T: R² R³, T(x, y) = (√x, 3xy, √y) Find the following images for…

A: Let us consider the transformation T:U→V defined as T(u)=v  The transformation is linear…

Q: Write each of the following lines in scalar, vector, parametric, and symmetric form. Scalar…

A: Student has specifically requested help for 2nd row. Hence, answer to that row is provided below :

Q: {) 0 } A .8 For what values of a is the vector -3a in the span of -2

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Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 6. Vector M of magnitude 4.8 m is at 60° counterclockwise from the +x-axis. It is added to vector N…

A: Given: Vector M: magnitude = 4.8m, direction: 60° counterclockwise from +x-axis. Vector N: magnitude…

Q: Consider the following diagram. The point O represents the origin of the zy-plane. The shape BCDE…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 16. (2018) Let U and V be the points in R' with position vectors ū = (2, 1, 1, –2) and i = (3,0, –2,…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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