Let u = (– 3, 5, 3), v = (4, –- 5, – 2), and w = (0, 5, – 3). Assume · always refers to the dot product. If possible, find the following. If not possible, type DNE. Use < and > to enclose vectors: for example, < x, y, z > u· v = (3u) · (4v) = (v. w w) u. (3v + 4w)

Q: Consider A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. draw the vectors A, B, and C in…

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Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

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Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: Select the option that gives the vector product of i+k and i + j Select one: 01 Oi+j-k Oi-j-k…

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Q: y 3 2 1 O -1 -2 -3

A: Given query is to find the x component of the vector.

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

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Q: If vector a= and vector b=, fınd a x b (the cross product of vector a and vector b). Enter the…

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Q: A:={x∈ℤ+| 1≤x<11 and (∃a∈ℤ+, a^2≡x(mod11))} B:={x∈ℤ+| 1≤x<13 and (∃b∈ℤ+, b^2≡x(mod13))} a) Specify…

A: Given A:=x∈ℤ+| 1≤x&lt;11 and ∃ a∈ℤ+,a2≡xmod11B:=x∈ℤ+| 1≤x&lt;13 and ∃ b∈ℤ+,b2≡xmod13

Q: Among the following vector pairs shown below choose an orthogonal pair. u = (1, -1, -1) and 7 = (2,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the vectors: u=(-2,6), v=(-3, –4), w =i+9j, and x=8i-6j.

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

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Q: Choose the equation(s) which have the following resultant vecto K 1 " Select one or more: C. * a.…

A: Given query is to find the resultant vector.

Q: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

A: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

Q: 1. For the following vector à and B, find à + B and B – Ả. Calculate |Ả + B| and |B - Ả . Å = 3ï+ 27…

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Q: Name two vectors parallel to (3, —8).

A: If we multiply the vector by a constant then we will get parallel vectors.    For example, we…

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.