# arrow_back Express the vector $\mathbf{u}=(2,3,1,2)$ in the form $\mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}$, where $\mathbf{w}_{1}$ is a scalar multiple of $\mathbf{a}=(-1,0,2,1)$ and $\mathbf{w}_{2}$ is orthogonal to a.

8 views

Express the vector $\mathbf{u}=(2,3,1,2)$ in the form $\mathbf{u}=\mathbf{w}_{1}+\mathbf{w}_{2}$, where $\mathbf{w}_{1}$ is a scalar multiple of $\mathbf{a}=(-1,0,2,1)$ and $\mathbf{w}_{2}$ is orthogonal to a.

## Related questions

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is the form of vector and parametric equations of lines in $R^{2}$ and $R^{3}$
1 answer 7 views
What is the form of vector and parametric equations of lines in $R^{2}$ and $R^{3}$What is the form of vector and parametric equations of lines in $R^{2}$ and $R^{3}$ ...
close
1 answer 12 views
close
0 answers 11 views
If $\mathbf{n}=(a, b, c)$ is a unit vector, use this formula to show that (perhaps surprisingly) the orthogonal projection of $\mathbf{x}$ into the plane perpendicular to $\mathbf{n}$ is given bya) Let $\mathbf{v}:=(a, b, c)$ and $\mathbf{x}:=(x, y, z)$ be any vectors in $\mathbb{R}^{3}$. Viewed as column vectors, find a $3 \times 3$ m ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.
0 answers 7 views
Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain.Is it possible to have $\operatorname{proj}_{\mathrm{a}} \mathbf{u}=\operatorname{proj}_{\mathbf{u}} \mathbf{a} ?$ Explain. ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let $\mathbf{u}=(2,-1,3)$ and $\mathbf{a}=(4,-1,2)$. Find the vector component of $\mathbf{u}$ along a and the vector component of $\mathbf{u}$ orthogonal to a.
1 answer 6 views
Let $\mathbf{u}=(2,-1,3)$ and $\mathbf{a}=(4,-1,2)$. Find the vector component of $\mathbf{u}$ along a and the vector component of $\mathbf{u}$ orthogonal to a.Let $\mathbf{u}=(2,-1,3)$ and $\mathbf{a}=(4,-1,2)$. Find the vector component of $\mathbf{u}$ along a and the vector component of $\mathbf{u}$ orthog ...
close
1 answer 8 views
Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the positive $x$-axis in $R^{2}$.Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the ...
close
0 answers 11 views
close