Category: Vector

Question Number 45898 by rahul 19 last updated on 18/Oct/18 Commented by rahul 19 last updated on 18/Oct/18 $$Letv=xi+yj+zk.Sincea\mathrm{\&}barenotcollinear$$$$\Rightarrow v=\lambda a+\mu b\Rightarrow x=z\dots \dots \left(1\right)$$$$Also\frac{1}{\sqrt{3}}=\frac{x-y-z}{\sqrt{3}}$$$$\Rightarrow\:{x}−{y}−{z}=\mathrm{1}\:…….\left(\mathrm{2}\right)…

Question Number 45856 by rahul 19 last updated on 17/Oct/18 $$Provethatthelengthoftheperpendicular$$$$fromtheorigintotheplanepassing$$$$throughpoint\overrightarrow{a}andcontainingthe$$$${line}\:\overset{\rightarrow} {{r}}=\overset{\rightarrow} {{b}}+\lambda\overset{\rightarrow} {{c}}\:{is}\:\frac{\left[\overset{\rightarrow} {{a}}\:\:\overset{\rightarrow} {{b}}\:\:\overset{\rightarrow} {{c}}\:\right]}{\mid\overset{\rightarrow} {{b}}×\overset{\rightarrow}…

Question Number 111347 by Rio Michael last updated on 03/Sep/20 $$\mathrm{convert}\mathrm{the}\mathrm{plane}\mathrm{with}\mathrm{cartesian}\mathrm{equation}:x-3y+2z=7$$$$\mathrm{into}\mathrm{its}\mathrm{vector}\mathrm{parametric}\mathrm{form}.$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 45575 by rahul 19 last updated on 14/Oct/18 Commented by rahul 19 last updated on 14/Oct/18 $$Mydoubt:$$$$Ifiwilltakebothpointsonsameside$$$$ofplane\left(wrongmethod\right)andwill$$$${take}\:{points}\:{on}\:{opposite}\:{side}\:{i}\:{will}\:{get}\:…

Question Number 111006 by pete last updated on 01/Sep/20 $$\mathrm{The}\mathrm{vectors}\mathbf{p},\mathbf{q}\mathrm{and}\mathbf{r}\mathrm{are}\mathrm{mutially}\mathrm{perpendicularwith}$$$$\mid \mathbf{q}\mid =3\mathrm{and}\mid \mathbf{r}\mid =\sqrt{5.4}.\mathrm{If}\mathrm{X}=7\mathbf{p}+5\mathbf{q}+7\mathbf{r}\mathrm{and}$$$$\mathrm{Y}=2\mathbf{p}+3\mathbf{q}-5\mathbf{r}\mathrm{are}\mathrm{perpendicular},\mathrm{find}\mid \mathbf{p}\mid .$$ Commented by kaivan.ahmadi last updated on 01/Sep/20 $${p}.{q}={p}.{r}={q}.{r}=\mathrm{0} \…