Let the vector a = (a1, a2, a3) E R³. Considering the Euclidean inner product, determine the space W for which the vector a is orthogonal to each of its elements. %3D

Q: Define vectors v = 3i - 2j and w = -2i + 4j. Blank 1: Find w - v. Blank 2: Find ||2v+w|l.

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Q: If three vectors vị, v2, V3 E R° are linearly dependent, then one of them must be a scalar multiple…

A: GIVEN THREE VECTORS v1, v2, v3 belongs to R^3 are linearly dependent

Q: Given |a'| = 48, | b| = 16 and the angle between a'and b'is 73°, %3D %3D state a'· b. Round your…

A: 1. Given that, a→=48b→=16α=73∘ To find a→·b→

Q: Assume vectors u = [1, 3,0] and w = [-2, 2, 0]. Find a vector v that is not w but satisfies the…

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Use the triple scalar product to find the value of p that makes the three vectors below coplanar.…

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Q: Make all obvious simplifications.

A: We have to solve

Q: Let v vector=[−4 −6] and b vector =[8 1 2] (check the image for reference) Is b vector in the…

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Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: -2 Show whether or not the vector bs is a linear combination of the vectors a, = az = and az = that…

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Q: In a three-dimensional space we have a vector R=( 4ai + 3aj + 5ak). Another vector S has the same Y…

A: In this problem, we are tasked with finding the angle between two vectors, and .To achieve this, we…

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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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: 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