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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

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think,

figure-out, &

learn.

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» cross product with a null vector

→ `vec p xx vec 0 = vec 0`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Cross product with a null vector results in a null vector.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, you will learn about vector cross product with a null vector.

Starting on learning "Cross product with a null vector". ;; In this page, you will learn about vector cross product with a null vector.

What is a null vector or zero vector?

- A vector of magnitude `0`
- `0i+0j+0k`
- `vec 0`
- all the above

The answer is 'All the above'

Given the definition of cross product as

`vec p xx vec q = |vec p||vec q|sin theta hat n`

What is `vec p xx (vec 0)`?

- null vector
- `vec p`

The answer is 'Null Vector' As `|vec 0| = 0`, the cross product is `0`.

Given the definition of cross product as

`vec p xx vec q = |(i, j, k),(p_x, p_y, p_z),(q_x, q_y, q_z)|`

What is `vec p xx (vec 0)`?

- `vec 0`
- `vec p`
- `p_x+p_y+p_z`
- all the above

The answer is '`vec 0`' As all the x, y, z components of `vec 0` is `0`, the cross product is `0`.

** Cross product with null vector: ** For any vector `vec p in bbb V`

`vec p xx vec 0 = 0`

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given that `vec x` has unknown magnitude and direction. What is the result of `vec 0 xx vec x`?

- unknown
- `-vec(x)`
- `vec 0`

The answer is '`vec 0`'.

*your progress details*

Progress

*About you*

Progress

What is a null vector or zero vector?

1

2

3

4

The answer is 'All the above'

Given the definition of cross product as vector p cross vector q =, magnitude p, magnitude q sine theta, n hat;; what is vector p cross vector 0?

null

null vector

vector

vector p

The answer is "Null Vector". As the magnitude of vector 0 is 0, the cross product is 0.

Given the definition of cross product as vector p cross vector q given in determinant form, what is vector p cross vector 0?

1

2

3

4

The answer is "vector 0", As all the x, y, z components of vector 0 is 0, the cross product is 0.

Cross product with a null vector results in a null vector.

Cross product with null vector: For any vector vector p in vector space v;; vector p cross vector 0, = 0.

Given that vector x has unknown magnitude and direction. What is the result of vector 0 cross vector x?

1

2

3

The answer is "vector 0".