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given the vectors u = (-1,10,6) and v = (11,-4,3) calculate -2u+4v

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Answer to a math question given the vectors u = (-1,10,6) and v = (11,-4,3) calculate -2u+4v

Expert avatar
Jayne
4.4
95 Answers
u = (-1,10,6)
v = (11,-4,3)

Step 1: Calculate -2u
-2u = -2 \cdot (-1,10,6) = (2,-20,-12)

Step 2: Calculate 4v
4v = 4 \cdot (11,-4,3) = (44,-16,12)

Step 3: Add -2u and 4v
-2u + 4v = (2,-20,-12) + (44,-16,12)

Step 4: Perform the addition component-wise
(2+44,-20+(-16),-12+12) = (46,-36,0)

Answer: (46,-36,0)

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