Represent the vector with respect to each of the two bases { ] y = B = B2 =

Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

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Q: Find the resultant vector A + B and the resultant angle with respect to positive x-axis where vector…

A: Since vectors are not given so lets understand the concept to add the two vectors. Parallelogram law…

Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Find a unit vector orthogonal to both u and v. u = -5i – 3j - 2k | V =

A: Two vectors A and B are said to be orthogonal to each other if and only if their dot product is zero…

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: Find a unit vector with positive first coordinate orthogonal to both u = and . x = =

A: Cross Product:We start by finding the cross product of u⃗\vec{u}u and v⃗\vec{v}v. The cross product…

Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: Find the cross product of the vectors ä = and b = .

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Q: Let u = - 2, 3 > amd = . a. Compute jul. b. Write 3 - 2u in component form. c. Compute a unit vector…

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Q: Find vector c = 3u – v, if u = and v =.

A: Given u = 2i - 7j + 3k and             v = 0i + 4j -  k = 4j - k Now vector c = 3u - (1/2)v c = 3(2i…

Q: Let A = space of A. Oh=2 Oh=-2 Oh-2 1 3 0 2 -1 Oh 2 2 2-2 Oh can be any real number. . Determine the…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

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Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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Q: Find a unit vector in the direction of vector v = ⟨−2, 3⟩

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Q: Find a unit vector perpendicular to c = (3, 4, −7) and d = (−1, −1, 3)

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