Question and Answers Forum

All Questions      Topic List

Vector Calculus Questions

Previous in All Question      Next in All Question      

Previous in Vector Calculus      Next in Vector Calculus      

Question Number 213045 by MrGaster last updated on 29/Oct/24

a^⇀ ,b^⇀ ls the unit vector,∣a^⇀ +b^⇀ ∣=1  ask ∣a^⇀ −b^⇀ ∣?

$$\overset{\rightharpoonup} {{a}},\overset{\rightharpoonup} {{b}ls}\:{the}\:{unit}\:{vector},\mid\overset{\rightharpoonup} {{a}}+\overset{\rightharpoonup} {{b}}\mid=\mathrm{1} \\ $$$${ask}\:\mid\overset{\rightharpoonup} {{a}}−\overset{\rightharpoonup} {{b}}\mid? \\ $$

Answered by mr W last updated on 29/Oct/24

Commented by mr W last updated on 29/Oct/24

∣a^(→) +b^(→) ∣=(√(1^2 +1^2 −1×1))=1  ∣a^(→) −b^(→) ∣=(√(1^2 +1^2 +1×1))=(√3) ✓

$$\mid\overset{\rightarrow} {\boldsymbol{{a}}}+\overset{\rightarrow} {\boldsymbol{{b}}}\mid=\sqrt{\mathrm{1}^{\mathrm{2}} +\mathrm{1}^{\mathrm{2}} −\mathrm{1}×\mathrm{1}}=\mathrm{1} \\ $$$$\mid\overset{\rightarrow} {\boldsymbol{{a}}}−\overset{\rightarrow} {\boldsymbol{{b}}}\mid=\sqrt{\mathrm{1}^{\mathrm{2}} +\mathrm{1}^{\mathrm{2}} +\mathrm{1}×\mathrm{1}}=\sqrt{\mathrm{3}}\:\checkmark \\ $$

Commented by MrGaster last updated on 29/Oct/24

Thank you,sir.

$${Thank}\:{you},{s}\mathrm{i}{r}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com