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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

7. Vectors

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Exercise 25 Page 688

The component form of a vector is ⟨ x_2-x_1,y_2-y_1 ⟩.

⟨ - 6,- 3 ⟩

Practice makes perfect

We use the component form of a vector to describe the vector in terms of its horizontal component x and vertical component y. ⟨ x,y ⟩

To write the component form of a vector with initial point (x_1,y_1) and terminal point (x_2,y_2), we need to find ⟨ x_2-x_1,y_2-y_1 ⟩. Let's identify the initial and terminal points of the given vector. Remember, the initial point is written as a dot, while the terminal point is shown as an arrow.

Now, we can substitute these values into the component form of a vector and simplify.

KJ = ⟨ x_2-x_1,y_2-y_1 ⟩

SubstitutePoints

Substitute ( 1,-2) & ( -5,-5)

KJ = ⟨ -5- 1, -5-( -2) ⟩

▼

Simplify right-hand side

a-(- b)=a+b

KJ = ⟨ - 5-1,-5+2 ⟩

Add and subtract terms

KJ = ⟨ - 6,- 3 ⟩

Subchapter links

Exercises p.687-690