Suppose L(5, 4) was reflected across the line y = x then translated along the vector <4, 0>. What is the y-coordinate of L''?

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Q: express the vector (4,5,5) as a linear combinations of vector (1,2,3) (-1,1,4) and (3,3,2)

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A: Given that the vector with length of 3 makes an angle of 7π/4 with the positive x-axis.

Q: 2. 1 show thet vectors cre linecrly dependent or lineerly in dependont

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Q: How do I show that the vectors (1, 2), (0, 1), (-3, 4) are not linearly independent?

A: To verify that the three given vectors in the plane are linearly dependent

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A: This is a question of multivariable calculus, the calculus of several variables.

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Q: as the sum of two orthogonal orthogonal to ư

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Q: The plane with normal vector - 7) containing the point (4,-1,1) has equation Ar + By + Cz = D. If A…

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Q: Find projection of vector (0,1,0) into the line spanned by (0,1,0)

A: We have to find the projection of the vector (0,1,0) into the line spanned by (0,1,0).

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Show that if a particle moves with constant speed, then the velocity and acceleration vectors are…

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Q: Find the vector in the same direction as &lt;1, 1, 0&gt; whose component in the direction of &lt;2,…

A: Let  us suppose that

Q: Compute x²z ds where Cis the line segment from (0,6,–1) to (4,1,5).

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Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

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Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

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Q: Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)

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Q: If a vector gets multiplied by a positive number, its direction will be .reversed F TO

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

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A: Just follow the flow and you are done.

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Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

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Q: 7. Find a vector that has the same direction as (-2,1, 2) but twice the length.

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Q: 3. find the length of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2)

A: Solution :

Q: The vector equation for the line passing through the points (-4, 1,0) and (4, 4,-3) is r(1)-

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Q: Is the set of the three vectors S linearly independent? Explain why. S = 2

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Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

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Q: Find the image of the point (-2,4) under a shear of factor 5 in the y- direction. (2, 6) O (2, -6) O…

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Q: Show thet direcion vectors of Tue Iae メ-3 レ り+ チ一て Laeメ-コ X-3 ソャ) Z-3 -2 are orthogohal

A: Direction vectors and orthogonality

Q: A particle starts moving from (- 4, 2, 5) so that its initial velocity is 5 î -3 ĵ – 2k and its…

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Q: A vector with magnitude 4 points in a direction 265 degrees counterclockwise from the positive x…

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Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

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Q: Determine the equation for the line with normal vector n = [3,-4] passing through the point P(-1,-2)

A: Given.

Q: nit vector that is parallel to the

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Q: Find two vectors and īz whose sum is (-4, -2), where vy is parallel to (-2, -5) while ū, is…

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Q: Determine the vector equation for the line that is parallel to = [1,5,-7]+[2,-1,5] with the same…

A: The general equation of line in vector form is    .Then note the result : Line passing through the…

Q: The normal vector of 2x + 3y - z + 5 = 0 is: O [3, -1, 5] O [2, 3, -1] [2, 3, -1, 5] O (-2, -3, 1]

A: Answer :  From question given that the Normal vector form is  ; 2x + 3y - z + 5 = 0