Consider the two vectors = (2,0, 1) and = 1 + 3) + 2k. a) b) -C) What is What is - üxü= î+ Ĵ+ k.

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

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Q: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

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Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

Q: Evaluate ( 3+j4)( 3+j4) = A +jB, determine the real component A

A: Given,              (3+j4)(3+j4)=A+jB

Q: 10. Consider the following vectors a = 1+ 41 - 2k and b =-] + 2k a) Calculate a . b b) Calculate a ×…

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Q: (x.yız) (x,9e)x4か t. 22 P( 3-1,0) けこくりん)2

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Q: Q3) A) Let 4 (-1 3, 4) and B (-5, 8, 10) two points in the space, find: 1- The vector AB. 2- Length…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: 7.Simplify the given expression using the distributive property…

Q: Suppose we know that Write A 6 as a linear combination of the vectors 5 8- 5 6 = 0 H + 6 1 1 -DE-B H…

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Q: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

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Q: find the diJ tance betueen the vectors

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Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Let u=j-5k, v=5i-j+k, w=-10i+2j-2k Which vectors, if any, are perpendicular? Which are parallel

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Q: ) Given two vectors: A = 21-3ĵ+ A = 21-3j+7k 7k 2) B Find 1) B B = 2i+j-2k 3) AxR

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Q: Let a and b be two unit vectors. 1) a x (a.b) 2) a . (axb) 3) a . (a+(axb)) 4) (axb) + (bxa)…

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Q: Let a = (a1, a2), b = (b₁,b2) be vectors in R². The area(a, b) is given by 1b₂-a2b₁. (a.) Show that…

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Q: (c) a-i+25+5k and 6 3i+ 45-E d) ä = 2i + 6j - 4k and 6- -3i - 95 + 6k

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: 5 3 -2 -3 w = -3 |; A= 4 -5 2 2 -5 4 -1 . Determine if vector w is in Nul(A)

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Q: 4 16 -- 12 -21 4. Is the vector in the span of the vectors 10 12 -8 and 8 ? Explain!

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Q: O Find a vector perpendicular to both i- 3j+2k and 5i-j-4k

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Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: Q2/ If A=ai+bj+3k, B= 2i+3j+4k, C-i+j+6k are vectors , perpendicular to B and A is perpendicular to…

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