Prove and generalize the following identity P(AUBUC) = P(A) + P(B) + P(C) - · P(AB) = P(AC) · - P(BC) + P(ABC)

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: Determine the value of k that satisfies the following identity (x is a variable). In(kxa-b) = 2…

A: Determine the value of k

Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: 27 | 25n+1 + 5n+2, (d))43|6"+2 + 72n+1.

A:

Q: Find the adjoint of the operation B = 2|0 × 1|- ; | 1 ×o |

A: This question asks to find the adjoint of the operation B^=2|0×1|-i|1×0|.

Q: Let u = (5,5,0) and v= = (5,5,5√√2). Compute |uxv|. Then sketch u, v, and uxv. |uxv= (Simplify your…

A: I have explained everything with in the solution. Please go through that.

Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: Bezout identity of (21,44)

A: SOLUTION -Formula to find Bezout identify:To Find Bézout identity of two numbers, we need to…

Q: b) Let {(-2,–6), (–1,5),(0,4),(1,3)} and {(-2,–18), (-1,–7),(0,–4), (1,–3)} be the point-value…

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given: limx→3x3-27x2-9