Let vv be the set of all vectors of the form -a b vectors u and in R³ such that W = span{u, v}. ū = 13 2a +56 || Find

Q: Given two non-zero vectors a and b such that abs(a+b)=abs(a-b), find the value of a*b (dot product…

A: Given Two non-zero vectors a and b such that  a+b=a-b            ...........1 The dot product of and…

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

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Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: Let V₁, V2, V3 be linearly independent vectors in R". Show that {v₁ + V₂, V₂ + V3, V3 + ₁} is also…

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: Find the cross products u xv and vxu for the vectors u = = (3,5,0) and v = (0,3, - 6). uxv = (Di+…

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Q: Suppose v1, v2, v3 is an orthogonal set of vectors in R°. Let w be a vector in Span(v1, v2, v3) such…

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Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Find all vectors u such that ux(1,1,1)=(8,-5,-3).

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Q: Let v1, V2, V3 and u be vectors in R". If u is orthogonal to each of v1, V2, and v3 then u is…

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Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

Q: Let y = *₁ = 0 and ū= 6 . Write y as the sum of two orthogonal vectors, ₁ in Span{u} and 2…

A: Given that the vectors  y→=0-1-2   and  u→=56-1   .

Q: Let u = (2, 0), v = (-2, -4), and w = (-4, 1). Find the vector æ that satisfies 4u – v+ x = 9x + w.…

A: Solution:-

Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: Show that the vectors X1 = 2e2t and 2et X2 5e3t form a linearly independent set.

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