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: Two vectors u and v in space are if and only if u X v= 0

A: Given vectors in space are u and v The vectors cross product is u x v = |u| * |v|* sin(angle between…

Q: 1 -2 Let uj = -2 and uz = -17 -4 8 If W = Span {u1, Uz}, determine whether each of the following…

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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: Given the vectors v=[-1. 2, 4] and w=[0. -3, 1], which vector is perpendicular to both v and w? A…

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Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: What geometric relationship must two vectors have in order for ||u + v|| = ||u|| + ||v|| ?

A: The expression ∥u+v∥denotes the norm of u+v, ∥u∥denotes the norm of u and ∥v∥denotes the norm of v.…

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: Let v, w, and a be nonzero vectors such that v · a = w · a.Is it true that v = w? Either prove this…

A: Given: v, w and a is non zero vectors, such that: v·a=w·a To prove: v=w

Q: Please solve this linear algebra question. Thank you

A: According to the given information, It is required to show that u, v, w are linearly independent…

Q: AB, BC, AC.

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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: For a given non-zero vector v in R3 there is a unique unit vector parallel to it. True or false.…

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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: If v = –i + 2j and --Projw= w = -2i + 3k, then - اخترأحد الخيارات -9 52+ j.A C 2 .B - C. Zero vector…

A: Solution

Q: {0·0·0} - {0·8·0} - {0···0} II. I only B II only CI and II only DI and III only

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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: 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: The magnitude of a vector is the same in all reference frames. O True O False

A: In dynamics vectors are 3 dimensional showing magnitude and direction

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: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: 1. For non-zero vectors, a and b, show that axb =a5-(ā • 5} . %3D

A: For non-zero vectors a→ and b→ we have to show that: a→×b→2=a→2b→2-a→·b→2 Assuming, a→=ib→=j Putting…

Q: Suppose we know that u · v = u · w. Does it follow that v = w? If it does, give a proof that is…

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Q: 1 -8.8 2 2 Find the unit vector that points in the direction of 4 27

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Q: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

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Q: The independent vectors are also orthogonal. Select one: True or False

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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