Consider the following. u = (3, 7), v = (4, 6) (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.

Q: Explain how vectors written in component form are added or subtracted.

A: Vectors written in component form can be added by adding the corresponding components of both the…

Q: [P] 3 as a sum of one vector from x-axis and one from the y-axis. 8. 3. Write the vector u =

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: ctor is a quantity characterized by only a positive or negative number that represents its magnitude…

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Write the vector-valued function for the line containing (2.6,7) and (-4,-1.2). Use the equation…

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Q: A three-dimensional unit vector parallel to the y-axis is

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Q: Find a-Vectak S unit, tengte inthedirectionofthe Vector A-ixjtk-

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Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: Describe why Components are not vectors?

A: Describe why components are not vectors.

Q: Let ? . Find the vector =42-Sg? and and its additve inverse

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Q: Draw à = 3î + 2ĵ+ 5k. Must Include the Rectangular Prism used to draw 3D vectors.

A: a⇀ = 3i^ + 2 j^ + 5k^ The given vector indicates a 3D vector :  3 units in the direction of x-axis…

Q: Determine the direction in which f = x²y√z has maximum rate of increase from P = (8,3,8). Express…

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Q: vectors

A: We have to define vectors.

Q: Describe vectors in the xyz-coordinate system

A: Given query is to find the distance of point from the YZ palne

Q: i. BC if x = 2 and y =2

A: In right angle triangle BOC.

Q: Explain the answer:Find the component form of the vector 2) Given: P = (0, -4) Q =(-1,9) Find: 8PQ…

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Q: Pls help

A: We will use vector addition to find the answer

Q: 5. Drop a vector from the set A {sin'x,-1,1, sin 5x} to make it independent in F(-00, 00)

A: A set is linearly independent if no vector can be written as linear combination of others.