30. Let F, and F, be differentiable vector fields and let a and b be arbitrary real constants. Verify the following identities. a. V•(aF, + bF,) = aV •F, + bV · F, b. x (aF + БF) 3D аV хF + bT X F, с. П- (F X F) — F-VXF — F-TXF

Q: 1. Consider the pointsS= (1,−3) andT= (2,5).(a) Sketch the vector−→ST.(b) Give the component form…

A: Here 2 different problems are provided. As per our Bartleby Guidelines, we are supposed to…

Q: Let ū = (4, –2), ū = (-2,0), and w = (2, 2). Find the vector x that satisfies Tu – u +x = 5x + w. In…

A: Given Let Plugging the values in the equation:

Q: 8. If it [13,7.-2] is orthogonal to v v=[-5, k.7], determine the value(s) of k.

A: Given query is to find the value of k.n

Q: (d) s(v+ww) × (rv)

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

Q: 18 as a linear combination of a and y Express the vector v y.

A:

Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos…

A: NOTE: Refresh your page if you can't see any equations. .

Q: tA= ate V x V x A forr 0. T Here a is a constant vect

A:

Q: Consider the vector-valued function. (a) Show that is continuous at t = -1. (b) Evaluate (R. RY(2).…

A: Like a scalar function, features like continuity and differentiability are also demonstrated by…