The figure below shows two named points A and B in R?. 4 3 2 -6 -6 -5 -4 -3 -2 -1 2 3 4 5 6 • Part 1 - Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0,-2). BA = + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA = +

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

Q: |Given the vectors a = (1,2, 3) and b = (1, –1,2), what is the dot product a - b · a? 4 5 14 (7, 1,…

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Q: Find

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Q: Find the sum of the given vectors. a = (1, 2, -1), b= (0, o, 6) a +b =

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Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

A: Solution

Q: The figure below shows two named points A and B in R?. 3 A 1 -1 -2 -3 -4 B -5 -6 -6 -5 -4 -3 -2 -1 1…

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Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

Q: Which of the following vectors represents -3e in component form? a. (9,-6) b. (-3, 2) 4. c. (-9,6)…

A: As per our guidelines only one question can be solved. Please find the solution for the first…

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Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: 3) Let å = 2ỉ +j,b = 5ỉ – 4j and c = i+j are vectors in 2D, then simplify å + b + 3č

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Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

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Q: SOLVE THE FF AND MAKE SURE THAT YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKE SURE YOUR SOLUTION…

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Q: a b c d e Which of the following vector is perpendicular to the given 2 vectors? nd -L1,-3>…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Which of the following vectors is orthogonal to (1, −1, 1, −1)? A. (-1,1,-1,1)  B. (-1,-1,-1,-1) C.…

A: Let's find orthogonal vector.

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A: Given equilateral triangles congruents to triangle BSR  and OS = a          OT = b

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

Q: 4. Let Ā = -(1+ 2 )î + 7j – 5k , B = xî + (6 +0)j – 2k and Č = (8 + 2 )î – 2k, find the following:…

A: A = -(1+2)i + 7j -5k = -3i + 7j -5k B = xi +(6+0)j-2k = xi + 6j -2k C =(8+2)i  -2k = 10i -2k

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

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Q: R3: (a) a= [ O, 2, O ], (b) b = [3, 2, l] , (c) c = [l, -2, l] , (d) d = [-1, -1, -2] Compute the…

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Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

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Q: Which of the following vectors are parallel: Select one or more: O [-12 9. -3 -3 16 -12 4 -12 1,

A: When two vectors a and b  parallel then a=kb here k is non zero constant

Q: Which of the following vectors are parallel : Select one or more: O [-12 -3 -6 -3 1 16 -12 4 2.

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Q: 7. Find the values of m that will make the following vectors perpendicular. à = (2m, 3,1), b = (m,…

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Q: Consider the vectors A =4ax+2kaytaz and B = ax+4ay-32az what value of k the two vectors A and B will…

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Q: 19. For two non – zero vectors ā' and b,if ||a' + || = ||a'||, then which of the following is…

A: Given : For two non-zero vectors a→ and b→,  ||a→+b→||=||a→|| Use the property ||a→||2=a→.a→

Q: --8-9--8-- 7 1. Are the vectors u =| and w= 10 independent? 4 12 2 and 3 3 independent? 5 2. Are the…

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Q: Which of the following pairs of vectors are orthogonal? Our(1, 1, -1), v 2, 2, 2 ) Ou(1,0, -1), v(…

A: Two vecors are orthogonal if their dot product comea out to be zero.

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: B) If u 5i-j+k, v -5j - 5k , w -i-3j+ 2k. Which vectors are perpendicular? Give reasons for your…

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Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: 10. Answer the question from the diagram below. * Refer to the figure below, which shows four…

A: apply triangle law of vector addition,S→=-N→+M→

Q: two points in the 3D plane, where A=(2,-4,6) and B=(5,-9,8). Which of the following would be the…

A: In this question, the magnitude of the vector is determined. The magnitude of the vector A→=a,b,c is…

Q: 3 as a linear combination of the vectors: 0 Lo] 1. Write the vector v = 6

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Q: 1. Given the vectors à = (-1, 1, 1), b = (2, 1, –3), and ở = (5, 1, –-7), calculate the value of…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

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Q: 4. Let Ā = -(1+ 2 )î + 7j – 5k , B = xiî + (6 +0)j – 2k and ĉ = (8 + 2 )î – 2k , find the following:…

A: As per company guidelines we are supposed to answer only one question at a time. for solution of…

Q: For what values of a, b, and c are the vectors; Equal?

A: Given: 2a-ba-2b6, -22a+b-2c

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 3 6 1 V2 = 1 V1 = - 2 4 3 - 2…

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Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 2 6 - 2 V1 = V2 - 1 1 4 2 The…

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Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

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Q: Which of the following vectors represents ā in component form? а. (5,-1) b. (1,–5) c. (-1,5) d. (-5,…

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Q: Suppose ABCD is a square. State one vector that is equal to AC + CB = AB - AD = AB + CD = AB + AC +…

A: Solution is, here

Q: Find the cross product of the given vectors. 7) ах b a (6,-6,-5) b=(-9,-1, 7) 8) а x Ь a = (9, 1, 2)…

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Q: ) Find the cross product of the given vectors e = (6,-2,3) and f= (2,5,-1).

A: Given that  e= (6,-2,3) and f= (2,5,-1). We find vector cross product of this given vector.…

Q: ermine whether the given vectors are orthogonal, parallel, or neither (a) a = (-5,3,7) and 5= (6,-8,…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.