Let A and B be vectors in R" and let c be a real number. Then (1) ||A|| 2 0, and || A|| = 0 if and only if A = 0 (2) ||cA|| = |c| ||A|| (3) ||A + B|| < || || + ||B||

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: 14.Let A= 3+2i 0 2 1+i 1-i B-( + ?) and B= Find AB.

A:

Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Choose the statement that is not true. Assume b ≠ 0, c ≠ 0, and d ≠ 0 as necessary.(a) ac/bc = a/b…

A: a) acbc = ab Taking the L.H.S of the above equation acbc Cancel the common terms, we get ⇒acbc ⇒ab…

Q: In Problem,find ||v||. v =i - j

A:

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0,7, 4) (a) 2 (b) 24 U. V U u (c)…

A: Given :u=2,-2, 4v=0, 7, 4

Q: Find u. v, uu, ||u||², (u - v)v, and u . u = , V = (a) (b) u. V u . u (c) || u ||2 (e) (d) (u. v)v…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: Let u = and v=. (a) Find ||u||. (b) Find u – 3v. -

A: Given: u=1,4,3  and v=2,0,-1

Q: 7. Find the value of x. (3x-7)° x+15) 289

A: To find: The value of x. Concept used: Exterior angle property: The sum of opposite and non-adjacent…

Q: 1. Let f: ZZ be defined by f(x) = -x for all x € Z. Is f injective?

A:

Q: tet fz) =-iž, Showthat if z-iz,show thet if f(2) analyticcorno?

A:

Q: Part 1 The accompanying data give the times in minutes for cyclists who completed a bicycle race and…

A:

Q: |u| = |v| is equivalent to u =. or u =

A: Given that u=v Recall that the absolute value sign gives the positive output for both positive and…

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

A:

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (2, 1, 1), v = (3, 2, −1)

A:

Q: y tysint- o,y o)=1

A:

Q: random variables X and Y have a joint probability density function given by , y) = way, 0 < x < 3…

A:

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 6 - En küçük kareler yönten katsayısı aşağıdakilerden O a) 0.776 O B) 0.556

A: We have to fit the curve of the form  y=aebx Take logarithms to both sides of the above equation, we…

Q: Which of the following is the solution of the given system below? X3 + 5x4 = 0, X3 + 7x4 4x1 + 2x2 –…

A:

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 5. Let f(t) = 2t + cost-2. The positions at time t≥ 0 of a particle moving along a coordinate line…

A: Hdhd ggg ghhhhhh hhhh ghhh0222222333 mmmm

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…

Q: Additional Problem Prove the statement: 3X CZ such that Vx E X, 2 | x and 3 | x.

A:

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j