Question Number 180254 by Noorzai last updated on 09/Nov/22 Answered by mr W last updated on 09/Nov/22 $$\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{cos}\:{x}} =\left(\frac{\mathrm{1}}{\mathrm{2}−\sqrt{\mathrm{3}}}\right)^{\mathrm{sin}\:{x}} =\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{−\mathrm{sin}\:{x}} \\ $$$$\Rightarrow\mathrm{cos}\:{x}=−\mathrm{sin}\:{x} \\ $$$$\Rightarrow\mathrm{cot}\:{x}=−\mathrm{1} \\…
Question Number 48993 by Raj Singh last updated on 01/Dec/18 Answered by $@ty@m last updated on 01/Dec/18 $${In}\:{order}\:{to}\:{save}\:{time}, \\ $$$${I}'{ll}\:{write}\:\mathrm{a}\:{instead}\:{of}\:\overset{\rightarrow} {\mathrm{a}} \\ $$$${LHS}=\left[{a}×{b}\:{b}×{c}\:{c}×{a}\right] \\ $$$$=\left({a}×{b}\right).\left\{\left({b}×{c}\right)×\left({c}×{a}\right)\right\}…
Question Number 113554 by Aina Samuel Temidayo last updated on 14/Sep/20 $$\mathrm{Using}\:\mathrm{displacement}\:\mathrm{vector}\:\begin{pmatrix}{−\mathrm{4}}\\{−\mathrm{2}}\end{pmatrix}, \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{image}\:\mathrm{of}\:\begin{pmatrix}{\mathrm{6}}\\{\mathrm{3}}\end{pmatrix}\:\mathrm{when} \\ $$$$\mathrm{translated}? \\ $$ Answered by bemath last updated on 14/Sep/20…
Question Number 46095 by Meritguide1234 last updated on 21/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 23/Oct/18 $${The}\:{eqn}\:{of}\:{stline}\:{is} \\ $$$$\frac{{x}−\mathrm{2}}{\mathrm{1}}=\frac{{y}−\mathrm{1}}{\mathrm{2}}=\frac{{z}−\mathrm{2}}{\mathrm{3}}={k} \\ $$$${eqn}\:{plane}\:{x}+{y}+{z}=\mathrm{8} \\ $$$$\left(\mathrm{2},\mathrm{1},\mathrm{2}\right)\:{is}\:{a}\:{point}\:{on}\:{stline} \\ $$$$\left({k}+\mathrm{2},\mathrm{2}{k}+\mathrm{1},\mathrm{3}{k}+\mathrm{2}\right)\:{is}\:{the}\:{point}\:{where}\:{st}\:{line}…
Question Number 45898 by rahul 19 last updated on 18/Oct/18 Commented by rahul 19 last updated on 18/Oct/18 $${Let}\:{v}\:=\:{xi}+{yj}+{zk}\:.{Since}\:{a}\:\&{b}\:{are}\:{not}\:{collinear} \\ $$$$\Rightarrow\:{v}\:=\:\lambda{a}+\mu{b}\:\Rightarrow\:{x}={z}\:……\left(\mathrm{1}\right) \\ $$$${Also}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:=\:\frac{{x}−{y}−{z}}{\:\sqrt{\mathrm{3}}} \\ $$$$\Rightarrow\:{x}−{y}−{z}=\mathrm{1}\:…….\left(\mathrm{2}\right)…
Question Number 45876 by rahul 19 last updated on 17/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 17/Oct/18 $$\mid\overset{\rightarrow} {{a}}+\overset{\rightarrow} {{b}}\mid=\sqrt{\mathrm{29}}\: \\ $$$$\overset{\rightarrow} {{a}}×\overset{\rightarrow} {{c}}=\overset{\rightarrow} {{c}}×\overset{\rightarrow}…
Question Number 45856 by rahul 19 last updated on 17/Oct/18 $${Prove}\:{that}\:{the}\:{length}\:{of}\:{the}\:{perpendicular} \\ $$$${from}\:{the}\:{origin}\:{to}\:{the}\:{plane}\:{passing} \\ $$$${through}\:{point}\:\overset{\rightarrow} {{a}}\:{and}\:{containing}\:{the} \\ $$$${line}\:\overset{\rightarrow} {{r}}=\overset{\rightarrow} {{b}}+\lambda\overset{\rightarrow} {{c}}\:{is}\:\frac{\left[\overset{\rightarrow} {{a}}\:\:\overset{\rightarrow} {{b}}\:\:\overset{\rightarrow} {{c}}\:\right]}{\mid\overset{\rightarrow} {{b}}×\overset{\rightarrow}…
Question Number 45809 by rahul 19 last updated on 17/Oct/18 Commented by rahul 19 last updated on 17/Oct/18 $${Calculation}\:{error}…. \\ $$ Commented by MJS last…
Question Number 111347 by Rio Michael last updated on 03/Sep/20 $$\mathrm{convert}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{with}\:\mathrm{cartesian}\:\mathrm{equation}:\:{x}−\mathrm{3}{y}\:+\:\mathrm{2}{z}\:=\:\mathrm{7} \\ $$$$\:\mathrm{into}\:\mathrm{its}\:\mathrm{vector}\:\mathrm{parametric}\:\mathrm{form}. \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 45730 by ajfour last updated on 16/Oct/18 Commented by ajfour last updated on 16/Oct/18 $${If}\:{base}\:{BC}\:{of}\:\bigtriangleup{ABC}\:{has}\:{slipped}\: \\ $$$${to}\:{the}\:{base}\:{edges}\:{of}\:{box}\:{and}\:{its} \\ $$$${sides}\:{AB}\:{and}\:{AC}\:{touch}\:\left({rests}\right. \\ $$$$\left.{against}\right)\:{poimts}\:{P}\:{and}\:{Q} \\ $$$${respectively}\:{of}\:{the}\:{two}\:{upper}…