Question

18. Addition of vector obeys;
a. Commutative law
b. Distributive law
c. Associative law
d. All given laws in a, b and c​

Answer 1

Answer:

d)all given laws in a,b, and c

Answer 2

Answer:

The right answer is option(d): all the given laws in a, b, and c.

Explanation:

• We know that no matter in which format or grouping the vectors are arranged, the sum of all those vectors remains unchanged.
• Thus proving vector addition follows associative law.

• Vectors also obey commutative law just like real numbers

• Commutative law shows that (a + b) = (b + a).
• Again we know that /vector cross product is distributive over vector addition.
• Distributive law shows us a×(b+c) = (a×b)+(a×c).

Since the vector addition follows all three laws, option (d) is the correct answer.