The vector u has length 10 and points at an angle of 15∘ The vector v has length 18 and points at an angle of 40∘ u * v = ______________

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: 4. Subtract the vectors shown. (blue - green)

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Q: Suppose vectors v, w, and z sum to the zero vector. If v = 8.2i - 3.8j and w = 4.1i + 1.3j, find z.

A: We have to solve

Q: Convert the second-order differential equation d²y Ź-y = 0 into a first-order system in terms of y…

A: Let, v=dydtThen, d2ydt2-y=0or, ddtdydt=yor, dvdt=yThus, the 1st order system is dydt=v,  dvdt=yAnd…

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

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: The vectors u and v are ________ if and only if u ∙ v = 0.

A: If the dot product of two vectors is zero ,                    If and only if they are orthogonal;…

Q: .4 Find the angle between the position vectors to the points (3,-4,0) and (-2, 1, 0) and find the…

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Q: If a and b are vectors with the same initial point and angle between them, prove that||a - b||2 =…

A: Consider the given expression as, a-b2

Q: Given the vectors A = (–2, 1, 3), B = (–5, 3, 0) in R³, then B x A is 9i - 15 j + k -9i - 15 j - k…

A: Vector cross product

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

Q: Given the vector u , can you find 1. A vector in the same direction as u but with length 1? Enter…

A: Given a vector 'u'. We need to find vectors in the same direction of 'u' but with length 1 and 6.…

Q: 1. For vectors ū and shown, drawu - 20 13 19

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Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Let u and v be vectors in a Euclidean space. Select the best statement. A. The difference u - v may…

A: Givenu and v are vectors in Eucludean space.

Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

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Q: For which a are the vectors ⟨2,a,1⟩ and ⟨1,−2,4⟩ perpendicular?

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Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.