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Chapter 10: Q 3 TB (page 800)

Provide definition of Distributive property of multiplication over addition for real numbers.

Short Answer

Expert verified

While multiplying a real number with sum of real numbers, the multiplication gets distributed over addition.

Step by step solution

01

Given information

Real numbers

02

Defining the property

When the sum of real numbers is multiplied with another real number, the multiplication gets distributed over addition.

Let $a, b, c$ be three real numbers.

As per the distributive property of multiplication over addition:

$a * (b + c) = a * b + a * c$

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Most popular questions from this chapter

Find $u + v$ and $u - v$ . Also, sketch $u, v, u + v$ and $u - v$ .

role="math" localid="1649572653771" $u = (2, - 6), v = (6, 2)$ ,

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$

$u = (4, 0) a n d v = (0, 3)$

How is the determinant of a 3 × 3 matrix used in the computation of the determinant of two vectors $u = (u_{1}, u_{2}, u_{3}) and v = (v_{1}, v_{2}, v_{3})$ ?

Find a unit vector in the direction opposite to $<3, 4, 5>$ .

In Exercises 24-27, find ${comp}_{u} v, {proj}_{u} v$ and the component of v orthogonal tou.

$u = <2, 0, - 5>, v = <- 3, 7, - 1>$

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