All categories

2 years ago

What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

Answer:

Dear mcdeagon,

Answer to your query is provided below:

Magnitude of -2a-3b = -18i-6j

Step-by-step explanation:

When a = 3i+9j and b = 4i-6j

Magnitude of -2a-3b will be calculated by putting value of a and b

So, -2a-3b = -2(3i+9j)-3(4i-6j)

= -6i-18j-12i+12j = -18i-6j

You might be interested in

No one can succeed in his or her career without relying on others for help or

saveliy_v [14]

Answer:

I think A is the answer hope this help's! sorry if it's wrong

Step-by-step explanation:

4 0

2 years ago

A ball has a radius of 18 cm.

jok3333 [9.3K]

Hello there.

A ball has a radius of 18 cm.

What is the approximate volume of the ball?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Answer: 24416.64

4 0

2 years ago

Read 2 more answers

Slope- Represented by ____ in y = mx + b (what's the blank?)

jeka94

Answer:

Step-by-step explanation:

4 0

2 years ago

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

2 years ago

Find n(A) for A={0,1,2,3,...,2000}

miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

7 0

3 years ago