Parallel Vectors - Applications of Scalar Multiplication

This is an idea that we will see fairly a bit over the next couple of sections.  Two vectors are parallel if they have similar direction or are in precisely opposite directions.  Now, remind once again the geometric interpretation of scalar multiplication.  While we performed scalar multiplication we produced new vectors which were parallel to the original vectors (and each other for that matter).

Thus, let's suppose that a^→ and b^→ are parallel vectors. If they are parallel after that there must be a number c so that,  

a^→ = c^→b

Thus, two vectors are parallel if one is a scalar multiple of another.

Posted Date: 4/13/2013 2:10:31 AM | Location : United States

Ask an Expert

Related Discussions:- Parallel vectors - applications of scalar multiplication, Assignment Help, Ask Question on Parallel vectors - applications of scalar multiplication, Get Answer, Expert's Help, Parallel vectors - applications of scalar multiplication Discussions

Write discussion on Parallel vectors - applications of scalar multiplication
Your posts are moderated

Write your message here..

Related Questions

Skewness-measure of central tendency, Skewness - It is a concept which... Skewness - It is a concept which is normally used in statistical decision making. This refers to the degree whether a described frequency curve is deviating away from the gene

Add and subtract unlike fractions, 1/2 + 2/8 = 1/2 + 2/8 =

Estimate the probability - noncritical path , An advertising project manage... An advertising project manager developed the network diagram shown below for a new advertising campagign.  In addition, the manager gathered the time information for each activity,

Quadratic Equations, how to find minimum value of quadratic equation? how to find minimum value of quadratic equation?

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=... ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

????????, ?????? ?????? ?? ???? ??????? ???????? ?????? 3.5 ?? ??? ???? ???... ?????? ?????? ?? ???? ??????? ???????? ?????? 3.5 ?? ??? ???? ???? ????? 50??/???? ??????20??/???? ???? ?? ?? ?????? ???????? ??? ??? ?? ??????? ??????? ? ?? ????? ????

Multiplication of complex numbers, Multiplication of complex numbers: ... Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) =  Solution: (4 + 3i) + (8 - 2i) - (7 + 3i

Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1, Graph     ( x - 2) 2 /9+4... Graph     ( x - 2) 2 /9+4(y + 2) 2  = 1 Solution It is an ellipse. The standard form of the ellipse is                                                         ( x - h

Partial derivatives - set theory, Partial Derivatives Partial derivati... Partial Derivatives Partial derivatives are used while we want to investigate the effect of one independent variable on dependent variable. For illustration, the revenues of a

Find out the volume of the solid method of disks , Find out the volume of t... Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 4x + 5 , x = 1 , x = 4 , and the x-axis about the x-axis. Solution : The firstly thing t