### 1. What is the formula of AxB?

The actual definition is: a x b = |a| |b| sin(θ)

where, The magnitude (length) of vector a is |a|,

The magnitude (length) of vector b is |b|,

The angle of a & b is θ,

The unit vector n for both a & b.

### 2. What is a cross-product of two vectors?

The a x b is a cross-product and it is defined as a vector c. It is perpendicular to both a and b.

### 3. Can you multiply a 2x3 and 3x3 matrix?

2x3 and 3x3 matrices multiplication are possible, and the result will be 2x3.

### 4. Can you multiply a 2x3 and 2x2 matrix?

2x3 and 2x2 matrix multiplication are not possible, because the matrix A column and B row amount needs to be the same.

### 5. What is the equation of a line in slope-intercept form calculator?

This is a very predictable question. We already know that the equation of the line is **Y = mx + b**, which is called slope-intercept form.

### 6. How do you find the mean, median, and mode?

Just remember three M's. You can find these three with their formula.

**Mean:**is called an average of a dataset.**Mode:**ordinary number in the data set.**Median:**a middle set of the numbers.

#### The Mean:

**∑ shows the summation**

**X serves observations**

**N shows the number of observations.**

#### The Median:

**If the observation(n) is odd, then the formula is:**

**If the observation(n) is even, then the formula is:**

#### The Mode:

**In this, the mode most frequently occurring observation or value.**

### 7. How do you find the mean median mode and range?

**Mean:**is called an average of a dataset.**Median:**the middle set of the numbers.**Mode:**common number in the data set.**Range:**the larger minus the Smallest!

### 8. How do I calculate the mode?

It is good to put the numbers to calculate the mode. Now, count each number. Note that often appearing numbers are called methods.

**Example:**

5, 3, 7, 20, 17, 23, 39, 23, 40, 23, 12, 14, 23, 29, 56

Arrange the numbers in Order: **23, 23, 23, 23**

Number **23** is common.

### 9. How do I find the median?

The set of middle scores of the distribution is known as a median. Let's see how to calculate it.

- Arrange your number in numerical format.
- Count the numbers that you have.
- Your odd number will be divided by two and round up. It will get the space of the median number.
- Your even number will be divided by two. Go to the number in that region and average it with the next higher place to get the median.

### 10. How do you calculate the mean step by step?

The aggregate calculated by adding up the score and dividing the overall number of scores. For instance, the number set is 3, 4, 6, 6, 8, 9, 11. Let's count the Mean.

9+11+6+6+3+4+8=47

47/7=6.7

The average value is 6.7.