Match each vector field with its graph. ? ? ? ? ? ? 1. F(x, y) = −3 2. F(x, y) = -i 3. F(x, y) = -yi 4. F(x,y) = x ✓5. F(x, y) = yj 6. F(x, y) = -xj A D T TTT7 B E + * 1 1 1 1 1 1 t с ttt t F .1 † 1 t L

Q: Let A(5, -1, -3) and B(1, 3, 2) be two points in R. The directional derivative of f(x, y, z) = xy…

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Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: Q2) Find the T „N of the vectors curve r(t) = at the point (1, 1)

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Q: Q/Find the real values of a , b, c that make the convolution equal to zero for the vector function…

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Q: e vector equation ū=

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Q: Consider R = xi +yj+zk and r = a constant vector A = a1 +a2 í + az k: What is (A. V)R in terms of A?…

A: R→=xi→+yj→+zk→ and r=R→, a constant vector A→=a1i→+a2j→+a3k→

Q: Let h(x, y) = x² + 3xy - 6y. In what direction does h increase most rapidly at the point (3, 2)? (a)…

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Q: 40. A particle traveling in a straight line is located at the point (1,−1, 2) and has speed 2 at…

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1)…

A: We will find derivative of given vector function to find linear approximation and equation of…

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

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