-2 Let u 3 and w = 1 For what value of h is w in the plane spanned by u and 7 v? h

Q: Q5. Are the set of vectors {[0 2 1]",[1 1 1]", [3 2 1]", [3 0 1]"} linearly independent? Does the…

A: Set of vectors are linearly independent if there is no non-zero solution of c1,c2,c3,c4. If there is…

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: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

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Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

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Q: Let u = , v = , and w = . find uw

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Q: 1 -2 4 17. Let a 4 a2 -3 and b : For what 7 value(s) of h is b in the plane spanned by aj and a2?

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Q: EXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z =…

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Q: LG, CF, and AU are concurrent.

A: According to the question, To show that LG, CF, and AU are concurrent, we will use the theorem…

Q: Let u = 4 h = V= and w= 1 . For what value of h is w in the plane spanned by u am

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Q: Convert the second-order differential equation d²y Ź-y = 0 into a first-order system in terms of y…

A: Let, v=dydtThen, d2ydt2-y=0or, ddtdydt=yor, dvdt=yThus, the 1st order system is dydt=v,  dvdt=yAnd…

Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7…

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Q: Q.6 If vectors 3i +j-k and å i - 4j + 4k are parallel, find the value of 2.

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Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: Let U₁= - 3. For what value of h is j in the plane spanned by ₁ and ₂? h V₂ = -9 [18] ý 11 -

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Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

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Q: Let 3 j = 36 For what value of h is j in the plane spanned by ö and i2? h =

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Q: Express the following as a linear combination of u (2, 1, 5), v (1,-1, 4) and w = (6, 8, 6). (9, 14,…

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Q: Let -81 2 V1 = V2 = 18 23 -2 -3 h For what value of h is y in the span of the vectors v1 and v2? h =

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Q: Let --0-8-8 V2 = -3 = 1 V1 = 2 For what value of h is y in the plane spanned by v₁ and v₂? h 5 y =…

A: For the plane spanned by v1 and v2, y is a linear combination of v1 and v2 if it is in the plane.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.