Given that 7 write 3 5 7 3 5 -2 2 3 7 -1 2 2 3 3 125 100 010 -5 001 3 as a linear combination of the vectors 2 332 2

Q: Lot = 140 11 9 -1 -3 and 17== 5 -6 -4 E # Write as the sum of two orthogonal vectors, in Span {u}…

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Q: One of the following vectors lies in span{ 2+x + x?, 3+x- 2x2} (A) 4+ x – 7r² (B) 4+ x – 4x? (C) 4 +…

A: Solve the following

Q: 10 -00-0 7 12 5 -8- Are the vectors 6 and linearly independent? Explain! 8

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Q: Civen that 1 00 7 -4 -3 3 2 19 -1 1 4 0 1 0 4 3 -1 4 3 0 0 1 4 3 write 4 as a linear combination of…

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Q: Given three non-zero vectors, a, b & C, is it possible to evaluate a b Explain with an example. •6•²

A: We have given three non-zero vector.

Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

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Q: -14 Given that write 3 -5 -3 -14 ] -5 = 2 -2 -3 1 0 0 −1 −1 as a linear combination of the vectors 1…

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Q: Three unique non-zero vectors a, b, and C are defined by four points in space. Select all of the…

A: Proceed as shown below

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

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Q: Graph three different non-zero vectors that sum (add up) to the zero vector.

A: We need to find 3 non zero vectors that sum to a zero vector.

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

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Q: Which of the following vectors is opposite of the given vector below?

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Q: Find a general set of solution vectors of х=-5 ха x₁ = x₁ + 3 x ₂ 2 2

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Q: Draw the vector (1,-5) in standard position. 001 8+ 7+ 6- 5 4+ 34 2 1 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2…

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Q: For any three vectors a, b, and c, we have a x (b x c) (a x b) x c. اختر احدى الدجابات True False

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: Find a vector orthogonal to both = 10 2 and w = 2

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Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

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Q: 3. Find all vectors b so that Аx = is consistent where 2 3 A = 12 5 4

A: Let us consider the vector Now, Ax=b gives This gives    From the above equation, we have to find…

Q: 6. Prove that A ·B+ |A x B|< 2|A||B|| for arbitrary vectors A, B and C.

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Q: a. Using geometric vector addition, draw the vector sum ā + b+ č. Then, verify your answer using…

A: The graph of the given question is  (a) we have to find vector sum, a→+b→+c→and then verify it by…

Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: Determine the possible values of 9 given that the vectors Select one or more: O 1,-3 0 1,3 O -1,-3 0…

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Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

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Q: Consider the following vectors: a= 3 71 = NIT 2 -6 -4 b'= 0 9 For each of the following vectors,…

A: The given vectors are:Write all three vectors in the matrix A

Q: 2) Subtract the (2) vectors; (4, 6) & (-8, -10)

A: The given vectors are 4, 6 and -8, -10 We need to subtract the given vectors.

Q: "Given that 3 -4 = 5 -3+ 2 5 ܐ write 3 as a linear combination of the vectors -2 + 5 -3 -2 5 -4 1 2…

A: Here , a vector is given and now we have to represent it as a linear combination of three vectors .

Q: Which of the following sets of vectors are orthogonal? O a. 5 3 4 2 -4 -3 -7 06 300 4 -5 -2 6 -6 360…

A: this is question of algebra here vector is given we have to check that this are orthogonal or not…

Q: Given that write -4 -2 -5 2 -3 -3 -2 5 3 2 [] -3 as a linear combination of the vectors [100 01 0 0…

A: Given that .We have to write  as a linear combination of the vectors .

Q: Express the vector below as a sum of two vectors and ₂, where is parallel to the vector given below,…

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Q: Let Q "Ax – x'b – C be such that A is positive definite. | Which of the following statements is…

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Q: h 2 S4 2- h 45 LT 2 0 O

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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: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j