Given the vectors, a=3i+4j, b=-2i+5j, c=10i-j, d=-1/3i+5/2j, find -0.4a-0.3b+0.2d=?

Mathematics

1 answer:

sveta [45]3 years ago

6 0

Answer:

$-\frac{2}{3}i - \frac{13}{5}j$

Step-by-step explanation:

-0.4(3i + 4i) - 0.3(-2i + 5j) + 0.2(- $\frac{1}{3}i$ + $\frac{5}{2}$ j)

-1.2i - 1.6j + 0.6i - 1.5j - $\frac{0.2}{3}$ i + 0.5j

Converting to fraction form;

$-\frac{6}{5}i + \frac{3}{5}i - \frac{1}{15}i - \frac{8}{5}j - \frac{3}{2}j + \frac{1}{2} j$

Solving the i part;

$\frac{-18i + 9i - i}{15}$ = $-\frac{2}{3}i$

Solving the j part;

$\frac{-16j-15j+5j}{10} = -\frac{13}{5}$ j

So -0.4a - o.3b + 0.2d = $-\frac{2}{3}i$ - $\frac{13}{5}j$

You might be interested in

Can someone walk me through this?

Diano4ka-milaya [45]

So you can set up proportion.

$\dfrac{7.5\ \text m}{76^\circ} = \dfrac C{360^\circ}$

Here, you need to solve for C.

You can do that by multiple both sides by 360 and then you should get $360^\circ\cdot\dfrac{7.5\ \text m}{76^\circ} = C \approx \boxed{35.526\ \text m}$

Hope this helps.

3 0

3 years ago

Ali scored 58 marks in eng and 49 in math . how much percent in eng more than math

Sergeu [11.5K]

Answer: 9%

Step-by-step explanation: as all the marks are out of 100 i suppose

so Ali got 58% at eng and 49% at math

so 58-49=9%

and that is how we get the answer

4 0

3 years ago

Read 2 more answers