6. ?a + (?b + ?c) = (?a + ?b) + ?c conveys which property of vectors? a. commutative property of addition b. associative property of addition c. distributive property of addition d. none of the above 7. k(?a + ?b) = k?a + k?b conveys which property of vectors? a. commutative property of addition b. associative property of addition c. distributive property of addition d. none of the above 8. m(n?a) = (mn)?a conveys which property of scalars? a. associative property b. distributive property c. identity property d. none of the above 9. (m+n)?a = m?a + n?a conveys which property of scalars? a. associative property b. distributive property c. identity property d. none of the above
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QUESTION 6 Match each example with its corresponding property in W: (5+0)+3=5+(0+3) A. Additive identity B. Associative under addition (3.7).4=4.(3.7) C. Multiplicative identity 0+(5+1)=(5+1) D. Right distributive Property (4+3).1=(4+3) E. Commutative under multiplication (7+2).0=7.0+2.0
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7. Demonstrate using diagrams; a. that vector addition is commutative ie. a + b = b + a b. that vector addition is associative ie. a + (b + c) = (a + b) + c
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