Modulus Vektor dan Vektor Satuan

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Mathematics

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10th Grade

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Zaenul Ihsan

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Modulus Vektor dan Vektor Satuan

By Zaenul Ihsan

Setelah mempelajari video di samping, selesaikan soal pada slide selanjutnya.

Panjang Vektor dan Vektor Satuan

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Tentukan vektor satuan dari p(1, 2, -2).

Contoh 2

Diketahui koordinat titik A(3, -1, -2) dan B(0, -1, 2). Tentukan panjang vektor BA.

Contoh 1

Modulus Vektor (Panjang Vektor) dan Vektor Satuan

Panjang Vektor dan Vektor Satuan

Solusi

BA = A - B

= (3, -1, -2) - (0, -1, 2)

= (3, 0, -4)

∣BA∣ = √(3² + 0² + (-4)² )

= √(9+16)

=√25 = 5

jadi, panjang vektor BA adalah 5

Solusi

Panjang vektor p :

∣p∣ = √(1² + 2² + (-2)² )

∣p∣ = √(1+4+4)

∣p∣ = √9 = 3

Vektor satuan p:

e_p = (1/∣p∣)p

e_p= (1/3)(1, 2, -2)

e_p= (1/3, 2/3, -2/3)

Multiple Choice

Diketahui koordinat titik A(3, -1, -2) dan B(0, -1, 2). Tentukan vektor satuan dari vektor $\overline{BA}$ .

(3/5 , 0, -4/5)

(3/5, 2, -4)

(3, 2/4, 5)

(1/3, -3, 4)

Fill in the Blanks

Diketahui: $\overline{a}$ =(3,−2), $\overline{b}$ =(1,5) dan $\overline{c}$ =(2,4). Berapakah panjang vektor (3 $\overline{a}$ −(2 $\overline{c}$ − 3 $\overline{a}$ ))?

Type answer...

Open Ended

Diketahui vektor $\overline{u}$ (1, -3, 2) dan $\overline{v}$ (1, 1, 0). Apakah hasil dari $\left|u\right|$ . $\left|v\right|$ = $\left|u\right|$ + $\left|v\right|$ ?

Type response here

Modulus Vektor dan Vektor Satuan

By Zaenul Ihsan

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