prove that ((vector)/(scalar))=vector


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 207812 by Davidtim last updated on 27/May/24

$p r o v e t h a t \frac{v e c t o r}{s c a l a r} = v e c t o r$
	Answered by A5T last updated on 27/May/24

	$L e t s c a l a r = λ \in R; a n d v e c t o r, a = (a_{1}, a_{2}, . . ., a_{n}) \in R_{n}$ $w h e r e e a c h a_{i} \in R . B y d e f i n i t i o n,$ $\frac{1}{λ} a = (\frac{a_{1}}{λ}, \frac{a_{2}}{λ}, . . ., \frac{a_{n}}{λ}) . S i n c e e a c h \frac{a_{i}}{λ} a l s o \in R, \frac{a}{λ} i s$ $a v e c t o r .$
	Commented by Davidtim last updated on 26/Oct/24

	$b u t w h e n w e f i n d t h e w o r k w e f o l l o w t h i s$ $W = F \cdot d$ $w h y h e r e t h e w o r k i s s c a l a r ?$
	Commented by A5T last updated on 26/Oct/24

	$T h e m a t h e m a t i c a l i d e a o f v e c t o r s / s c a l a r s i s$ $d i f f e r e n t f r o m t h a t i n p h y s i c s .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum