ne forces F1, F2 and F3 in a system obey the equations 5F, - 2F, + F, = 2 F + 4F, – F, = 8.2 - 2F, + 3F, +6F, =-3.9 e Cramer's rule to calculate the forces.

Q: Let the set {v,, v2} be linearly dependent. Determine whether the set {v, + 4v,, 5v, - v2} is also…

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Q: Let a₁ = b= 4 []- [ a₂ = -3 a₁ + and b = Is b a linear combination of a₁ and a₂? OA. b is not a…

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Q: Given =(9,-4), v=(6,7), w-10i+9j, and x=- 10i-5j, evaluate the following. 5. 7u-7v 4w + 3x 7. 5u-3w…

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Q: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

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Q: Find the vector x determined by the given coordinate vector [x]p and the given basis B. 1. -5 -3 2.…

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Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: Claculate the linear combination. (3i+j)-6j+2(j-4i)

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Q: = (a) Example: Show that the set of vectors; v₁ (6, 2, 3)), v₂ = (0,5,-3) and V3 = (0, 0, 7)…

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Q: Checking hw 17

A: Given information:V=-7i+3jW=-i-6j

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Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: what is the linear combination of  u⃗  and v⃗ ?

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Q: 3. Find all real values of c such that the vectors and e+3 are linearly independent.

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Q: Write a system of equations that is equivalent to the given vector equation. 2 -5 + - 9 ... Choose…

A: topic - matrices

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A: Let u , v ,w be the vectors,  then there exist scalars a , b , c such that au+bv+cw=0 If all scalars…

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Q: Let a₁ 2 -B-E- -3 b = -10 -3 a2 = 19 and b a₁ + 18 Is b a linear combination of a₁ and 2? OA. Yes b…

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