Vectors are useful in Select one or more: O a. a. Physics O b. b. Linear Algebra c. Biology O d. Computer Science e. Journalism

Q: Consider the two vectors -4 u = 6 and v = -5 Calculate u · v and u x v and enter these in the box…

A: topic- vectors

Q: For what values of b are the vectors and orthogonal?

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Q: Find the unit vector e, if i = ( – 2, 2) ey =

A: Given: v→=-2, 2 To find the unit vector ev→ The formula to calculate unit vector is ev→=v→v→

Q: The vectors & and B are given by X = 2i + 3j and B = = 1 + 2j then Xx B

A: The given vectors are  X=2i+3j, B=i+2j We can write  X=2i+3j+0k, B=i+2j+0k As we know that, the…

Q: The vectors and are Select one: a. Linearly independent b. Linearly dependent

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Q: Determine if the following vectors are orthogonal. a%3D -2 Select the correct choice below and fill…

A: Use the property of orthogonal vectors. Write the vectors in the form of unit vectors and then use…

Q: Which of the following equations CORRECTLY shows the vector addition in the figure below? B

A: Triangle Law: The triangle law of vector addition states that when two vectors are represented as…

Q: Vector D represents: B A +B A -B C +B A +C

A: I am attaching image so that you understand each and every step.

Q: 5) Write the analytical expression of the unit vector for F= 400 i + 700j - 400 k %3D

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Q: Given the following vectors: u=(1,2-4) and v=(2,3,5) find u.v and u.u and (u.v)v

A: Given vectors are u=1,2,-4 and v=2,3,5. To find u·v, u·u and u.vv Solution: Let us suppose two…

Q: Given the vectors a = (4,-2) and b = (-1,9), which statements is/are true? %3D V12 82 III. 3a - b -…

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Q: Which of the following properties of vectors is incorrect? à × b = b × ā X à · ( b + c ) = à · b ± à…

A: The vectors are  and

Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=<q1-p1,q2-p2,q3-p3> therefore   if P=(2,3,4) and Q=(2,5,10) then

Q: 1. What do the two vectors equal to? 12 20 %3D + 2. What do the two vectors equal to? + 10 %3D 3.…

A: Concept: If two vector having same direction then can simply add. If two vector having opposite…

Q: Let v₁ = O A. 1 -2 V₂ = 0 0 1 4 V3 = OA. 4 a. How many vectors are in {V₁, V2, V3}? b. How many…

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Q: If A = (-6, 6, -3) then what is the vector from the origin to A? Answer: ( 1 And what is the vector…

A: Point A=(-6,6,-3) is given and let O=(0,0,0) . To find the vector OA and AO .

Q: a. Find the coordinate vector for each vector in the figure. ■ā= b= ■ ■= b -6-5-4-3-2-1 OK 6 5 4 3 с…

A: Solution is given below:-

Q: In R, you are given the vectors -10 u = 4 and v = -7 -39 If w = -9 belongs to Span(u, v), then what…

A: Consider the provided question, vectors,u=-34-4  and  v=-10-7-4and if w=-39-9z  belongs to Span…

Q: If A = (-1, –7,-7) then what is the vector from the origin to A? Answer: ( And what is the vector…

A: Co-ordinates of the origin is O(0,0,0) We know vector from a point A(a,b,c) to a point B(p,q,r) is…

Q: Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 =…

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Q: by Di is 3 x 4, D2 is 4 x 7, D3 is 7 x 2, and v is a vector in R?. D,D2D3v is which is a (matrix,…

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Q: Solve the vector equation: -2 こ x, メ25 x3-6 G 3.

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Q: Find C, the length of C, which is the sum of A and B.(Figure 2) Express your answer in terms of A,…

A: Consider length of vectors A, B and C is A, B and C.By linear pair  θ +c =180° c= 180- θ

Q: For each pair of vectors in i-iii, find the following: e. ||ū|| and ||3|| b. and ||ū|| |||| f. Ili2…

A: Since you have asked a question with multiple subpart here we will solve the first three subparts…

Q: Determine if the following vectors are orthogonal. 12 4 2 4 Select the correct choice below and fill…

A: Orthogonal Vectors: Two vectors x and y are called orthogonal, denoted by if