Prove the triple scalar product identity A ⋅ (B x C) = (A x B) ⋅ C.

Q: Calculate Vf using suffix notation and the chain rule: ƒ(r) = 3(a ⋅r)² − a²r² (a is a vector…

A:

Q: Prove that if a is perpendicular to b, then |a +b|^2 = |a|^2 + |b|^2 .

A:

Q: Let V = R². For (u₁, U2), (v1, v2₂) € V and a € R define vector addition by (U1, U2) = (v1, v2) :=…

A:

Q: Find the cross product a × b. a = j + 9k,    b = 4i − j + 2k       Verify that it is orthogonal…

A:

Q: Answer True or False The dot product of and is a scalar Select one: O True False

A: Given: 2,1,-3  and   4,5,-7

Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

A:

Q: Find the scalar triple product u (vxw). u. (vxw) = u = (-6,1,3), v = (3,6, - 8), w = (-4,3,2)

A:

Q: Let F = sin(4x +3z) i-6ye*z k. Calculate div (F) and curl (F). (Express numbers in exact form. Use…

A:

Q: Complete the proof of the remaining property of this theorem by supplying the justification for each…

A: Answer is mentioned below

Q: Calculate the scalar triple product, (ux v). w, ofu, v, and w where u = -141-43, v = 10i-20 + 15k,…

A:

Q: Find u ∙ (v × w). This quantity is called the triple scalar product of u, v, and w.u = i, v = j, w =…

A:

Q: I have performed the following polynomial multiplication in matlab on two vectors of polynomial…

A: Since matlab is mymult=conv(v1, v2) and result is mymult=3 45 -6 -78 99 65 -54 -12 -10 240

Q: the following. 1 1 1 A = B = 1 -1 1 3 b be scalars. Find aA + bB. e whether C is in span(A, B). in…

A:

Q: Let z = 6. and y Find the vectori = 47 - 7j and its additive inverse.

A:

Q: Which of these operators produces a scalar when it acts on a vector? A B D Ⓡ u. V V D2 V. Vx

A:

Q: Please solve this question with a good explanation. It is Linear Algebra question.

A:

Q: Prove that |A|B + |B|A is orthogonal to |A|B – |B|A, for any vectors A and B.

A: We need to show that |A|B + |B|A is orthogonal to |A|B – |B|A, for any vectors A and B. Here, |A|…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.