menu

arrow_back If $\|\mathbf{v}\|=2$ and $\|\mathbf{w}\|=3$, what are the largest and smallest values possible for $\|\mathbf{v}-\mathbf{w}\|$ ? Give a geometric explanation of your results.

by Platinum
(104,456 points)
in Mathematics
12 views
If $\|\mathbf{v}\|=2$ and $\|\mathbf{w}\|=3$, what are the largest and smallest values possible for $\|\mathbf{v}-\mathbf{w}\|$ ? Give a geometric explanation of your results.

Please log in or register to answer this question.

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy
0 answers 10 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Answer the following in terms of \(\mathbf{V}, \mathbf{W}\), and \(\mathbf{Z}\).
0 answers 2 views
Answer the following in terms of \(\mathbf{V}, \mathbf{W}\), and \(\mathbf{Z}\).Let \(A\) be a matrix, not necessarily square. Say \(\mathbf{V}\) and \(\mathbf{W}\) are particular solutions of the equations \(A \mathbf{V}=\mathbf{ ...
by MathsGee Platinum
(104,456 points)
asked in Mathematics 10 hours ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Determine whether the statements are true or false, and justify your answer
1 answer 8 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Are these statements True or False?
0 answers 12 views
Are these statements True or False?(a) If each component of a vector in $R^{3}$ is doubled, the norm of that vector is doubled.   (b) In $R^{2}$, the vectors of norm 5 whose init ...
by MathsGee Platinum
(104,456 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$
1 answer 10 views
close

Join the MathsGee Homework Help Q&A club where you get study support for success from our verified experts. Subscribe for only R100 per month or R960 per year.


On the MathsGee Homework Help Q&A learning community, you can:


  1. Ask questions
  2. Answer questions
  3. Comment on Answers
  4. Vote on Questions and Answers
  5. Donate to your favourite users
  6. Create/Take Live Video Lessons

Posting on the MathsGee Homework Help Q&A learning community


  1. Remember the human
  2. Behave like you would in real life
  3. Look for the original source of content
  4. Search for duplicates before posting
  5. Read the community's rules

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Management Leadership | MathsGee ZOOM | eBook | H5P