Let u= and v= Show that is in Span (u, v} for all x and y.

Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

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Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: 3. Let f: R→ R³ and 9: R³ R be defined by f(t) = (t², sin(t), et) and g(x, y, z) = xy + z. Using…

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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: Let v1 =[1,4,-2] , v2 =[-2,-3,7] , b =[4,1,h] FIND all value(s) h such that b is in span{v1 , v2 }

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Q: Evaluate the Dot Product u * (v + w). If : u = (-5, 7) v = (1, 6) w = (-11, 2)

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Q: Find the value of z in rhombus FGHI. z+48° 5z H 3D = Z F.

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Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: Find the length of the vector x=x= |x|=|x|=

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Q: Determine the magnitude and the direction angles of a vector 1li + 3j – 7k ft. Magnitude is o ft, a…

A: Let the given vector be r=11i+3j-7k. Evaluate the magnitude of the given vector as follows.…

Q: (b) Let v₁ = (-2, 1,5), v₂ = (0, 1,4), V3 = (-2,4, 17). What is span(V1, V2, V3)? Could it be all of…

A: Given vectors are v1=(-2,2,5), v2=(0,1,4),v3=(-2,4,17) we have to find span(v1,v2,v3)

Q: Let W1=span{(1,1,0),(-1,1,0)} and W2=span{(1,0,2),(-1,0,4)} Proove W1+W2=R^3

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Q: V = Span{(1, 2, 3), (1, 0, 2)} and W = Span {(0, 2, 1), (1, 1, 1)}. Find the relation between V and…

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Q: Compute u X v.

A: Here given vector as u=3-12, v=011 These vectors can be written as u=3i-j+2kv=j+k

Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Suppose W1 = span(v1, v2, v3, v4), W2 = span(v1, v2, v3, v5), W3 = span(v1, v2, v3, v4, v5) and…

A: Given: Suppose W1 = span(v1, v2, v3, v4), W2 = span(v1, v2, v3, v5), W3 = span(v1, v2, v3, v4, v5)…

Q: Let u = (2, -1,3), v = (3,0,1) and w = (-1,-1,3). find all values of I, m and n such that lu + mv +…

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Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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

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Q: Suppose that u and v are two unit vectors in 3D and the angle between them 6 i. What is |u x v[? ii.…

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Q: Find u· v. u = (-10, 2) v - (1, 5) u v =

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Q: B. Is C a real vector space? Explain.

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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.

Q: Determine whether R3 = span(u, v, w) if

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Q: Find u. (vx w). eBook u = (5, 5, 5) = (4,2,0) w = (0, 0, 2) v =

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Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the area of the triangle UVW

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