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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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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

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» Cross product with a negative

→ `vec p xx (-vec q) = - (vec p xx vec q)`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Cross product with a negative of a vector is the negative of cross product with the 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 the vector cross product with the negative of a vector.

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

Given `vec p = 2i+j-k` what is the negative of `vec p`?

- `2i+j-k`
- `-2i-j+k`

The answer is '`-2i-j+k`'

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 q)`?

- `-(vec p xx vec q)`
- `|p||q|sin(180+theta) hat n`
- `-|p||q|sin(theta) hat n`
- all the above

The answer is 'All the above'

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 q)`?

- `-(vec p xx vec q)`
- `|(i, j, k),(p_x, p_y, p_z),(-q_x, -q_y, -q_z)|`
- `-|(i, j, k),(p_x, p_y, p_z),(q_x, q_y, q_z)|`
- all the above

The answer is 'All the above'

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Cross Product with the negative: ** For any vectors `vec p, vec q`

`vec p xx (-vec q) = -(vec p xx vec q)`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

Given `vec p xx vec q = -3i` what is `(-vec p) xx vec q`?

- `3i`
- `-3i`
- `i`
- `3`

The answer is '`3i`'

*your progress details*

Progress

*About you*

Progress

Given vector p = 2 i + j minus k, what is the negative of vector p?

1

2

The answer is "minus 2 i minus j+ k "

Given the definition of cross product as vector p cross vector q = magnitude of p, multiplied, magnitude of q, multiplied, sine theta, n hat. What is vector p cross, minus vector q?

1

2

3

4

The answer is 'All the above'

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

1

2

3

4

The answer is 'All the above'

Cross product with a negative of a vector is the negative of cross product with the vector.

Cross Product with the negative: For any vectors p q ; vector p cross, minus vector q = minus vector p, cross, vector q.

Given vector p cross vector q = minus 3 i, what is minus vector p, cross, vector q?

1

2

3

4

The answer is ' 3i '