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3 years ago

What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?

Mathematics

1 answer:

Reika [66]3 years ago

4 0

Answer: 3

Step-by-step explanation:

The 3D vector consists of 3 axes, let's say x, y and z.

Now, a vector P lies in all of them.

So, the angle it makes with x axis is α

The angle it makes with y axis is β

The angle it makes with z axis is γ

So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.

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blagie [28]

9/38 x 9 /38 =81/144 both of the events are indepent

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3 years ago

Read 2 more answers

Maria invests $6,154 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account

VladimirAG [237]

Answer:

$13,695.98

Step-by-step explanation:

Continuously compounded interest formula:

$A = Pe^{rt}$

where

A = future value

P = principal (present value of amount invested)

e = mathematical constant, the base of natural logarithms

r = interest rate

t = time in years

We have: P = 6154; r = 8% = 0.08; t = 10

$A = 6154e^{0.08 \times 10}$

$A = 6154e^{0.8}$

$A = 6154 \times 2.2255$

$A = 13695.98$

Answer: $13,695.98

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3 years ago

A right pyramid with a regular hexagon base has a<br> height of 3 units.

mina [271]

Answer: in order, the answer is 3, height of the pyramid, 6, then 108

Step-by-step explanation: I JUST DID THE QUESTION

8 0

3 years ago

The area of a rectangle is expressed as x4 − 16y^4, determine & state the length and the width of the rectangle, expre

Bad White [126]

Answer:

Step-by-step explanation:

16 = 2 *2 * 2 * 2 = 2⁴

16y⁴ = (2y)⁴

x⁴ - 16y⁴ = x⁴ - (2y)⁴

= (x²)² - [ (2y)² ]²

{Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}

= (x² + (2y)² ) (x² - (2y)² )

= (x² + 4y²) (x² - 4y²)

7 0

2 years ago

Damien bowled 5 games, His scores were:

Nat2105 [25]

The mean is basically the average.
To find the mean we need to add up all the values and divide it by the amount of games he played.
82 + 83 + 65 + 84 + 76 = 390
390/5
Mean = 78

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3 years ago