if a and b are vectors,
a•b is a scalar.
a×b is a vector.
the dot product • is only defined for two vectors.
The cross product × is only defined for two vectors.
So,
1,3,5,11 are scalars
6,8,9,10 are vectors
2,4,7,12 are undefined
Why are some of these scalars and others are vectors? What's the difference and how can you tell?
1. a dot (b x c)
2. (a dot b) x (b dot c)
3. (a + b) dot c
4. a x (b dot c)
5. (a x b) dot (b x c)
6. (a + b) x c
7. a dot (b dot c)
8. (a x b) + (b x c)
9. (a x b) - c
10. a x (b x c)
11. (a dot b) + (b dot c)
12. (a dot b) - c
I said that 1, 3, 5, and 11 are scalars. 6, 7, 8 and 9 are vectors. The rest are meaningless.
1 answer
1 answer