Find the projection of u onto v. u = (0, 17) v = (16, 19) U = proj,u = Write u as the sum of two orthogonal vectors, one of which is proju. u = proj,u +

Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: Given vectors: A = 3 i + j – k, B = - i + 2 j + 5 k, C = 2 j – 3 k.  Find: 1) C ٠ (A + B) 2) C x…

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Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

Q: Find a vector (v) with an initial point &lt;-5,-5,-4&gt; and a terminal point of &lt;4,-10,4&gt;.…

A: The objective of the question is to find the vector v with given initial and terminal points and…

Q: Part (a) What is the length of the vector A? |A| = sin() cotan() atan() cosh() Hints: 0% deduction…

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Q: Vectors A and B lie in an xy plane. A has magnitude 7.6 and angle 116° relative to +x direction: B…

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Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k

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Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…

A: Given data The vector G is given as  G→=2i^-3j^+k^. The vector H is given as  H→=2i^+j^-k^. The dot…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: The vector product of two vectors A and B is a vector and so has both a magnitude and direction: 1.…

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Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: 109 B 0 x i

A: Given: Displacement vectors A has magnitude of 3.7 m, making 22 degrees with horizontal.…

Q: Given (Ā× B) - C. B) . Č. (a) Prove that for any three vectors Ā, B, and C, A · (B × C) = (Ả × B)

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Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

Q: Vector v = &lt;1,1,0&gt; and vector w = &lt;-1,-1,sqrt2&gt;. Find a vector that is orthogonal to…

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Q: Express F as a vector in terms of the unit vectors i, j, and k. Determine the projection, both as a…

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Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

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Q: A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

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Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V1 + V2, V1-V2, V₁ X V2, V₂ X V₁, and V₁ V₂.…

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Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A: Solution:-Given thatPoints-P:(-1, 1, -2)⇒OP→=(-i^+j^-2k^ )Q:(-2, 0, 1)⇒OQ→=(-2i^+k^ )R:(0, -2,…

Q: A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as…

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