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summary of this topic

Properties of Dot Product

Properties of Dot Product

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 »  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`
Dot product of a negative 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`
Dot product of a negative 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`'

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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 '

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