Answer:
a. It is meaningless.
b. It has meaning.
c. It has meaning.
d. It has meaning.
e. It is meaningless.
f. It is meaningless.
Step-by-step explanation:
a. (a.b).c.
This is meaningless, a.b will give a scalar and we can't take the dot product of the scalar result with vector c.
b. (a.b)c
This has meaning, a.b will give a scalar, the the scalar will be multiply with the vector c.
c. |a|(b.c)
This has meaning, |a| means magnitude of vector a and it will a scalar and this is multiple by the scalar result of b.c
d. a.(b+c)
This has meaning, b+c will give another vector then, the scalar product of the result and vector c will be calculated and it will gives us a scalar answer.
e. a.b+ c
This is meaningless, the dot product of a.b will give a scalar result and the scalar result canont be added to c. We can't add a scalar to a vector.
f. |a|.(a+b)
This is meaningless, |a| means the magnitude of vector a and that is a scalar. The scalar product of a scalar and a vector cannot be calculated.
