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Why is the direction of the zero vector specified as arbitrary? What's the point of this?
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The problem of the zero vector 1. The direction of the zero vector is arbitrary.2. The zero vector has countless directions Are these correct?
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If the non-zero vector a=(2a+1, a+b) is parallel to B=(-2,0), then a, b satisfy the following conditions: Answer a+b=0 a is not equal to -0.5 Isn't X1Y1=X2Y2 a sufficient condition for vectors to be parallel? But why doesn't a equal -0.5? If the non-zero vector a=(2a+1, a+b) is parallel to B=(-2,0), then a, b satisfy the following conditions: Answer a+b=0 a is not equal to -0.5 Isn't X1Y1=X2Y2 a sufficient and necessary condition for vectors to be parallel? But why doesn't a equal -0.5?
The direction of the zero vector is arbitrary and therefore controlled
If two non-zero vector are parallel,
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For the non-zero vector a, b, what is the condition that' a parallel b' is' a+b=0'? For a non-zero vector a, b, what is the condition that' a parallel b' is' a+b=0'?
Necessary Inadequate
A parallel b, a+b is not necessarily equal to zero (this is a good example) a =(1,1) b =(2,2)
A+b=0, a, b must be equal in size and opposite in direction.
"The direction of the zero vector is arbitrary; and the zero vector is parallel to but not perpendicular to any vector."
The modulus of the zero vector is 0, so the direction is arbitrary
Both directions are arbitrary and therefore parallel to any vector.
The modulus of the zero vector is 0, so the direction is arbitrary
Both directions are arbitrary, so parallel to any vector.
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