Is it true that if v and w are unit vectors, then v + w is a unit vector? Either show this is always true or provide examples to show that this is not always true.

Q: If v is a vector,then v + (-v)=.................

A: If v is a vector, then v+-v=___.

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: In a standard coordinate system, the unit vectors in the three main directions are orthogonal to…

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Q: Let u, v, w be vectors. Which of the followings are meaningless? (Hint: The notation x means cross…

A: Use the actual meaning of vector and dot products.

Q: Consider the vectors à = (5,3,7) and b = (2, -3,4). Answer or calculate each of the following.…

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Q: refer  to  image  below.

A: Lineraly dependentv3={-1/3} v1 +{1/3} v2Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Show that the vectors below are independent. 1 3 3 3 5 3

A: The given vectors are 123,  -1-15   and  333. Compute the determinant of matrix formed by these…

Q: What is the unit vector oppositely directed to 4?−5?−5??

A: Topic:-  vector algebra

Q: If a,b,c are vectors such that a.b=a.c,a×a=a×c, then show that b=c

A: Given, a,b,c are vectors such that a·b=a·c, a×a=a×c To prove: b=c

Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

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Q: Determine if the following vectors span R³. 2 ~-~-8 U₁ = -2, U₂ =

A: Given that u1=2-20, u2=1-11

Q: 4

A: We are given the following vectors.

Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: 3. Let 7 be a non-zero column vector in R" and 7 be a non-zero column vector in R". What is…

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Q: Find vectors v and w so that v+w= (4,5,6) and v-w=(2,5,8). This is a question with____ unknown…

A: Addition of vectors

Q: Show that the vectors 3 Ot span R³ by giving a vector not in their span. B00 4

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Q: The vectors (2,10, 4) and (1, 3, x) are orthogonal if and only if x= -8. Ignore "Give your reasons"…

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Q: Let a=(2,4) b=(4.2) vectors be given. Accordingly, it is a//b. true or false no need solution just…

A: Let, u = u1i + u2j + u3k        v = v1i + v2j + v3k Two vectors u and v are parallel if u×v =0…

Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

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Q: That is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)

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Q: Let S be a finite set of distinct nonzero vectors in R¹2, and |S|=the number of vectors in the set…

A: given that⇒S be finite set ofdistinct non zero vectors in ℝ12 and |s|=14

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: 2. Find all vectors [10] [8]. so that the following vector equation can be solved for c₁ and c₂: [T]…

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Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

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Q: 9. Show that for any real numbers a and b the vectors u = ai and v = bj are orthogonal?

A: Topic:-  vector algebra