All categories

3 years ago

given vector u = (6,-4) and the graph of vector v, find v - 2u and express the result of terms in i and j

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

Answer:

v-2u=10j

Step-by-step explanation:

The component of vector v, are

u=<6,-4>

From the graph; vector u, has components.

v=<12,2>

We perform the subtraction;

v-2u=<12,2>-2<6,-4>

We multiply out the scalar to get:

v-2u=<12,2>-<12,-8>

This implies that;

v-2u=<12-12,2--8>

v-2u=<0,10>

v-2u=0i+10j

v-2u=10j

Andre45 [30]3 years ago

4 0

Answer:

0i + 10j, or just 10j

Step-by-step explanation:

Vector u = <6, -4> and vector v = <12, 2>.

We are to find v - 2u, which is:

<12, 2> - 2<6, -4>. We combine x components and y components to obtain:

<12-12, 2+8>, or <0, 10>.

In terms of i and j, that'd be 0i + 10j, or just 10j.

You might be interested in

Can someone please solve these problems for me if you could do step by step that would rlly help me this is due Feb 14, 2021 ple

dsp73

Answer:

7. about 41.8 degrees or 0.72972 radians (used $sin^{-1} (\frac{4}{6} )$ , because the given leg is opposite from the angle)

8. about 50.4 degrees or 0.87946 radians (used $tan^{-1} (\frac{29}{24} )$ )

9. about 12.8 degrees or 0.224 radians (used $sin^{-1} (\frac{12}{54} )$ )

10. about 51.3 degrees or 0.8957 radians (used $cos^{-1} (\frac{25}{40} )$ , given leg is opposite from angle)

Step-by-step explanation:

S.O.H.--C.A.H.--T.O.A

sine = opposite (to angle)/hypotenuse

cosine = adjacent (to angle)/hypotenuse

tangent = opposite (to angle)/adjacent (to angle)

I didn't know if it was degrees or radians, so I did both! I saw you on the film question asking for help, so I just wanted to do so! Have a great day!

7 0

2 years ago

The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh

svp [43]

Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t$

5 0

3 years ago

What is the distributive property to expand the algebraic expression.5(2f - 6g)

Gnoma [55]

Answer:

10f-30g

Step-by-step explanation:

we have:

5(2f - 6g)

we apply distributive property:

5(2f - 6g)

5*2f+5*(-6g)

finally we have:

10f-30g

7 0

3 years ago

In 1771, misfortune struck Euler again, when a cataract in his left eye robbed him of his sight entirely. Incredibly, this did n

nika2105 [10]

Answer:

Wrote more books and articles, 450 books!

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the slope of the line 8x + 6y = 12?

anyanavicka [17]

The slope of the line is -4/3

8 0

3 years ago

Read 2 more answers