Matematika Sekolah Menengah Atas 2. Diketahui vektor u=4i+6j, v = 7i - 24j tentukan : a. |u+v|b. |u-v|c. |v-u|​

isaacfadelulv – March 05, 2023

2. Diketahui vektor u=4i+6j, v = 7i - 24j tentukan :

a. |u+v|

b. |u-v|

c. |v-u|​

jawaban:

kalo benar jadikan jawaban terbaik ya

u = 4i + 6j = (4, 6)

v = 7i - 24j = (7, - 24)

Jawaban No 2a

u + v

= ( 4 + 7 , 6 + ( - 24 ) )

= ( 11 , - 18 )

| u + v | = √((11)² + (-18)²)

= √(121 + 324)

= √445

Jawaban No 2b

u - v

= ( 4 - 7 , 6 - ( - 24 ) )

= ( - 3 , 30 )

| u - v | = √((-3)² + (30)²)

= √(9 + 900)

= √909

= 3√101

Jawaban No 2c

v - u

= ( 7 - 4 , - 24 - 4 )

= ( 3 , - 28 )

| v - u | = √((3)² + (-28)²)

= √(9 + 784)

= √793