What is the divergence of the vector field f = x²i+ xyzj – zk at the point (1, 2, 3). Select one: а. -2i-2k b. Non of them с. 21-2k d. 2i+2k e. -2i+2k

Q: Dilate the vector (-3,5) by a factor of 3. ([ ? ],[])

A: Given vector: V=-3, 5 ……1   Also, Scalar factor is 3.

Q: (d) s(v+ww) × (rv)

A: Given that u→,v→,w→∈ℝ3 and r ,s ∈ℝ.

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Vector p = Vector n Calculate the total sales of all the bicycles. 239, 193, 219 > represents the…

A:

Q: Suppose that vi = (2, 1, 0, 3), v2= (3, – 1, 5, 2), and v3 = (- 1, 0, 2, 1). Which of the following…

A: Given:-             Suppose that v 1 =(2, 1, 0, 3), v 2=(3, – 1,5,2), and v 3=(-1,0, 2, 1). Which of…

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

A:

Q: z is a complex variable z=x+iyFind all points of discontinuityf(z)=(3z^2 +4)/(z^4 -16)

A: To locate the points of discontinuity of the given function f(z) of the complex variable z.

Q: > Evaluate [ ²(x² + y²) dx + (x + y)²dy C › C is the triangle with vertices (1,1), (2,2) and (1,3)

A:

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: - ()--)- 1 Let a = 2 and b = be two vectors. What is Jal2|b|2 - |a · bl2 ?

A: Here,  Given that  two vectors  . So, we find the value of  |a|^2.|b|^ - |a.b|^2

Q: 44. (a) Find all vectors v such that (1.2.1) X = (3.L-5) (b) Explain why there is no yector v such…

A: To find vectors v?

Q: compute and explain (3)(-5) using a model

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Q: Show that the vectors (1,1,0), (1,0,1), and (0,1,1) generate F3.

A: