Scalar Multiplication of vectors Example-2

We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more

Support us

Home

What's new

College Algebra

Games

Feedback

About us

Algebra

Matrix & Vector

Numerical Methods

Statistical Methods

Operation Research

Word Problems

Calculus

Geometry

Pre-Algebra

Home > Matrix & Vector calculators > Scalar Multiplication of vectors example

2. Scalar Multiplication of vectors example ( Enter your problem )

( Enter your problem )

1. Example-1
(Previous example)

3. Dot Product of two vectors
(Next method)

2. Example-2

1. Find 3×A
A=(5,-1,1) $A=(5,-1,1)$

Solution:
Here

→A=(5,-1,1),→B=(-2,3,4),→C=(5,-1,1) $vec A=(5,-1,1),vec B=(-2,3,4),vec C=(5,-1,1)$

3⋅→A $3 * vec A$

=3⋅(A1,A2,A3) $=3*(A_1,A_2,A_3)$

=(3⋅A1,3⋅A2,3⋅A3) $=(3*A_1,3*A_2,3*A_3)$

=(3⋅5,3⋅(-1),3⋅1) $=(3*5,3*(-1),3*1)$

=(15,-3,3) $=(15,-3,3)$

2. Find 2×B
B=(-2,3,4) $B=(-2,3,4)$

Solution:
Here

→A=(5,-1,1),→B=(-2,3,4),→C=(5,-1,1) $vec A=(5,-1,1),vec B=(-2,3,4),vec C=(5,-1,1)$

2⋅→B $2 * vec B$

=2⋅(B1,B2,B3) $=2*(B_1,B_2,B_3)$

=(2⋅B1,2⋅B2,2⋅B3) $=(2*B_1,2*B_2,2*B_3)$

=(2⋅(-2),2⋅3,2⋅4) $=(2*(-2),2*3,2*4)$

=(-4,6,8) $=(-4,6,8)$

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here