Given the vectors in 3-dimensional space is a= (a,az.az) and b= (b,b,.b,). The cross product of a and b is defined by axb = a, a, = (a,b, – a,b,) i +(a,bz – a,&y)j-(qb, -a,&,)k. , b2 b3 True O False

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: 6. Let a = (1, 0,3) and u = (2,-1,5). a.) (5 pts.) Evaluate projau. b.) (5 pts.) Find a vector that…

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Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: 2.) Wrile pach vector below of the vectors in s.Cif possible), 0s a linear combination 5=d…

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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: Find the vector in R³ from point A = (–4, 7, 6) to B = (–8, –5, 7). AB: =

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Q: Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the…

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Q: ind {(1,-1,0,2), 3,4,2,1), (1,0,0, 1)} ench vecton th anther There three is this combinat ave

A: In this question we will use basic of calculus i.e concept of vector calculus. We will simply form…

Q: 7. Given a= [-1, 2,6], b= [0,-1, 3] and c= [2, 4, 5]. Determine a xb.c

A: we are given 3 vectors a, b and c and we need to determine axb.c the vectors are given as--…