Express the vector u below as a sum of two vectors u, and u,, where u, is parallel to the vector o given below, and u, is perpendicular to v. Make sure that the first vector in your sum is u, and the second is u,. Use the square root symbol ' where needed to give an exact value for your answer. -2 3 7 0. 0. +0=+u2 -6= -5

Q: Three vectors are defined by position vectors defined m=(5,4,2), n=(-1,-3,6) and p=(x,-y,-z), where…

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Q: Express the vector P, P2 in the form v = v, i+ v2j + v3k if P, is the point (- 7, - 3,1) and P2 is…

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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: Show that if == and == for u,v,w ∈ IR then the angles between u-v, v-w, w-u vectors are equal and…

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A: Given Information  Here assume that, (x,y,z)=(2,4,6)

Q: 3. Find a unit vector with the same direction as (3, 4).

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Q: How many vectors can represent a line given by vector (-3,-5, 1) + (7,2,3)

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3…

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A: We have to find vector v1 →and v2→   the sum of vector v1 →and v2→ is 2, -4   vector v1 →is parallel…

Q: If P = 1 - 3, 12 and Q = 1x, 42, find all numbers x suchthat the vector represented by PQ >has…

A: Given :               P = (-3,1)   and Q = (x,4)                  PQ→ = Q - P      = x+3,3PQ→= x+32…

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: For the vectors u = -2,2,-1) and v = (- 2,1, -3), express u as the sum u = p n, where p is parallel…

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Q: Find the unit vector of n = (4,-3) .

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Q: For the vectors u = (-4, - 1, - 1) and v = (1,-3,2), expressu as the sum u = p n, where p is…

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Q: For the vectors u = (4, – 1) and v = (- 4,1), express u as the sum u = p+n, where p is parallel to v…

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u-(-7, 24) (a) in…

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Q: Let u = (1,3, 5) and = (-4, 3, –7) be vectors in R³. Find proj, u. Find proju v.

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Q: A vector (25, 10, 20)T is translated by a distance of 8 units in the X-direction, 5 units in the Y-…

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Q: 1. Find the sum of the vectors (3,-1) and (-1,5) and illustrate geometrically.

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Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=<-12, 8>,    and    v=<-5, -12>. Need to find the unit vector in…

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A: Topic:- vector algebra

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Q: Find two unit vectors orthogonal to a=⟨5,2,4⟩ and b=⟨5,0,4⟩ Answer so that the first vector has a…

A: We need to find a vector c→ , such thatc→ ⊥ a→ and c→ ⊥ b→ie,c→.a→ = 0  and c→.b→ = 0given,a→ = 5 i…

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Q: Give a vector of length 5 that is orthogonal to Choose a simple vector to work with

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Q: Find two vectors vj and 2 whose sum is (-2, -5), where is parallel to (-3, 4) while vz is…

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Q: Use the vectors vec{u}=(1,-2,5)  and vec{v}=(0,-1,3) to Find, vec{v} - (2vec{u})  and the unit…

A: topic - vectors