Question

Verify (a + a) × (a+ b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector


a x b

= i j k
3 -3 1
-12 12 -4

=
i
( (-3) · (-4) - 1 · 12 ) -
j
( 3 · (-4) - 1 · (-12) ) +
k
( 3 · 12 - (-3) · (-12) ) =
=
i
( 12 - 12 ) -
j
( (-12) - (-12) ) +
k
( 36 - 36 ) =
=
(0 ; 0 ; 0)

2. Relevant equations

have i correctly verified with an example that two vectors whose cross product is the zero vector?

Answers

tyler
that looks right....what can be said about them is that they are parallel in space

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