Dot Product of two vectors Example-2

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Home > Matrix & Vector calculators > Dot Product of two vectors example

3. Dot Product of two vectors example ( Enter your problem )

( Enter your problem )

1. Example-1
(Previous example)

4. Cross Product of two vectors
(Next method)

2. Example-2

1. Find A.B
A=(2,3,1) $A=(2,3,1)$ ,B=(0,5,6) $B=(0,5,6)$

Solution:
Here

→A=(2,3,1),→B=(0,5,6),→C=(2,3,1) $vec A=(2,3,1),vec B=(0,5,6),vec C=(2,3,1)$

→A⋅→B $vec A * vec B$

=A1⋅B1+A2⋅B2+A3⋅B3 $=A_1*B_1+A_2*B_2+A_3*B_3$

=2⋅0+3⋅5+1⋅6 $=2*0+3*5+1*6$

=0+15+6 $=0+15+6$

=21 $=21$

2. Find B.A
A=(2,1,-1) $A=(2,1,-1)$ ,B=(1,0,-1) $B=(1,0,-1)$

Solution:
Here

→A=(2,1,-1),→B=(1,0,-1),→C=(2,1,-1) $vec A=(2,1,-1),vec B=(1,0,-1),vec C=(2,1,-1)$

→B⋅→A $vec B * vec A$

=B1⋅A1+B2⋅A2+B3⋅A3 $=B_1*A_1+B_2*A_2+B_3*A_3$

=1⋅2+0⋅1+(-1)⋅(-1) $=1*2+0*1+(-1)*(-1)$

=2+0+1 $=2+0+1$

=3 $=3$

This material is intended as a summary. Use your textbook for detail explanation.
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