Suppose f(x, y) = (a) ▼ ƒ(x, y) = (b) Vƒ(4,5) = (c) fu (4, 5) = D„ ƒ(4, 5) = and u is the unit vector in the direction of (2, -1). Then, x² + y²

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Q: Find a vector of unit length tangent to (1 + e,r tan(t)) at I 0. (금이) (1,0) (0, 1) None of the…

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Q: Suppose f(x,y) = = tan(x) + y and u is the unit vector in the direction of (-3,-1). Then, a) ▼ f(x,…

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Q: Find a non-zero vector B' which is perpendicular to A'= 2i'-3j'.

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Q: Find the derivative of the vector function r(t) = ta x (b + tc), where a = (-5, −1, −1), b = (−2,…

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Q: f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the…

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Q: Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

A: We have to find the vector equation.

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, Vx,y,z=4x2-3xy+xyz Find Vx,Vy,Vz:  Vx=8x-3y+yzVy=-3x+xzVz=xy Gradient of V at P(6,6,5)…

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Q: -> If the projection of a = i-2 +3k on b = 2î+ ak is zero, then the value of 2 is (A) (B) 1 - 2 (C)…

A: Use the dot product to find the projection.

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Q: Find the derivative of the vector function r(t) = ta x (b+ tc), where a = (4, -1,5), b = (-3,-3,-1),…

A: Given, the vector function      r(t)=ta×(b+tc),where       a=4,-1, 5, b=-3,-3, -1, and  c=1, 2, 2,…

Q: In R, evaluate the alternating 2-form 5 = -3· dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: Given that, ξ=-3.dx∧dy on (a,b) Where a=(4,2,12),b=(-7,-4,8) The objective is to show that ξ(a,b).

Q: If you have vectors x-[1 5 9 5] and y-[4 8 3 6] find 1- Wex'+y 2- R-(y')* 3- X+y 4- X.*y

A: Given that we have two vectors with four components X= [ 1 5 9 5] Y= [ 4 8 3 6]