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Thought-Process to Discover Knowledge

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figure-out, &
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User Guide

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

nub,

trek,

jogger,

exercise.

User Guide

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User Guide

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User Guide

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User Guide

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge.

summary of this topic

### Properties of Dot Product

Voice

Voice

Home

»  vector dot product with the negative of a vector
→  vec p cdot (-vec q) = - (vec p cdot vec q)

### Dot product of a negative

plain and simple summary

nub

plain and simple summary

nub

dummy

•  Dot product with a negative of a vector is the negative of dot 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 result of vector dot product with the negative of a vector.

Keep tapping on the content to continue learning.
Starting on learning "Dot product of a negative". ;; In this page, you will learn about the result of vector dot 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 dot product as
vec p cdot vec q = |vec p||vec q|cos theta
What is vec p cdot (-vec q)?

• -(vec p cdot vec q)
• |p||q|cos(180+theta)
• -|p||q|cos(theta)
• all the above

The answer is 'All the above'

Given the definition of dot product as
vec p cdot vec q = p_xq_x+p_yq_y+p_zq_z
What is vec p cdot (-vec q)?

• -(vec p cdot vec q)
• p_x(-q_x)+p_y(-q_y)+p_z(-q_z)
• -(p_xq_x+p_yq_y+p_zq_z)
• all the above

The answer is 'All the above'

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Dot Product with the negative: For any vectors vec p, vec q
vec p cdot (-vec q) = -(vec p cdot vec q)

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

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

• 3i
• -3i
• i
• 3

The answer is '3i'

Progress

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 dot product as vector p dot vector q = magnitude of vector p, magnitude of vector q, cos theta. What is vector p dot, minus vector q?
1
2
3
4
The answer is 'All the above'
Given the definition of dot product as vector p dot vector q = p x q x + p y q y + p z q z. What is vector p dot minus vector q?
1
2
3
4
The answer is 'All the above'
Dot product with a negative of a vector is the negative of dot product with the vector.
Dot Product with the negative: For any vectors vector p, vector q ;; vector p dot minus vector q = minus, vector p dot vector q.
Given vector p dot vector q = minus 3 i, what is minus vector p dot vector q?
1
2
3
4
The answer is ' 3i '

we are not perfect yet...