f(r.y2)4ry t and u is the unit vector in the direction of (4, 2,-5), men the drectional denvative at the point (-5,3, 1) mthe drecon ofw f. (-5,3,1) - D. f(-5,3, 1) -

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Let T: R2 R be a reflection in the x-axis. Find the image of each vector. (a) (7, 6) (b) (9,-3) (c)…

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Q: Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9…

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Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

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Q: Let the following vectors be in R³ a = (1,3,-1) b= (-2,1,3) c = (3,2,1) d = (1,-1,2) 15.- Find the…

A: Introduction: Vector Operations are operations that are performed on vector quantities. Vector…

Q: Find the B-coordinate vector for p(t)=4+3t-2t²-5t³ B={1-2t²_t³,t +3t³,1 +2t+t²} a. (2,-1,2) b.…

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Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find the vector v, where u = (-2, 3) and w = (-3, -2). Su + w) Illustrate the specified vector…

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Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

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Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1,…

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Q: P(2,5, 4) and Q(8,3,3) Let be the line through P in vector direction (1,2,3) and let II be the plane…

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Q: (22,20)

A: We have to find the solutions