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olga55 [171]
3 years ago
13

given that u=(-3,4) and vector v has an initial point of (7,0) and a terminal point of (-5,2), find 2v-3u and express your answe

r as a linear combination of i and j
Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

\vec r = -42\cdot i  + 14\cdot j

Step-by-step explanation:

The resultant vector is calculated as follows:

\vec r = 2\cdot (-3,4) + 3\cdot (-5-7,2-0)

\vec r = (-6, 8) + 3\cdot (-12,2)

\vec r = (-6,8) + (-36,6)

\vec r = (-42, 14)

The answer as a linear combination of i and j is:

\vec r = -42\cdot i  + 14\cdot j

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2w^2-11w=-12 <br> a w=3/2 or 4<br> b w=1 or 12<br> c w=1 or 7<br> d w = 2.5 or 6
dlinn [17]
Hey mate !!
Here's your answer !!


2w^2 - 11w = -12
2w^2 -11w + 12 = 0
2w^2 - 8w - 3w + 12 = 0

2w ( w - 4) -3 ( w - 4) = 0
(2w - 3) ( w - 4) = 0

Hence

2w - 3 = 0
2w = 3
w = 3/2

w - 4 = 0
w = 4

Hence value of w are 4 and 3/2

Hope this helps!!
Cheers!!
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