44. Diketahui:
A(4,-2) dan B(3,-1)
AB = p
Ditanyakan: p
Jawab:
B - A = p
(3,-1)-(4,-2) = p
(3-4,-1-(-2)) = p
(-1,1) = p
45. Diketahui:
a = i+4j
b = 2i+3j
Ditanyakan:
2a+3b
= 2(i+4j)+3(2i+3j)
= 2i+8j+6i+9j
= 8i+17j
46. Diketahui:
a = (√2 0) dan b = (1 1)
sudut antara a dan b
*|a| = √((√2)²+0²)
= √(2+0)
= √2
*|b| = √(1²+1²)
= √(1+1)
*cosx = (|a|²+|b|²)/(2.|a||b|)
=((√2)²+(√2)²)/(2(√2)(√2))
= (2+2)/(2.2)
= 4/4
= 1
*x = 0°
47. Diketahui:
a = (4 -2)
b = (0 -1)
3a•2b
= 3(4 -2)•2(0 -1)
= (12 -6)•(0 -2)
= ((12. 0) (-6. -2))
= (0 12)
Mapel: Matematika
Kelas: 10
Materi: Vektor
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44. Diketahui:
A(4,-2) dan B(3,-1)
AB = p
Ditanyakan: p
Jawab:
AB = p
B - A = p
(3,-1)-(4,-2) = p
(3-4,-1-(-2)) = p
(-1,1) = p
45. Diketahui:
a = i+4j
b = 2i+3j
Ditanyakan:
2a+3b
Jawab:
2a+3b
= 2(i+4j)+3(2i+3j)
= 2i+8j+6i+9j
= 8i+17j
46. Diketahui:
a = (√2 0) dan b = (1 1)
Ditanyakan:
sudut antara a dan b
Jawab:
*|a| = √((√2)²+0²)
= √(2+0)
= √2
*|b| = √(1²+1²)
= √(1+1)
= √2
*cosx = (|a|²+|b|²)/(2.|a||b|)
=((√2)²+(√2)²)/(2(√2)(√2))
= (2+2)/(2.2)
= 4/4
= 1
*x = 0°
47. Diketahui:
a = (4 -2)
b = (0 -1)
Ditanyakan:
3a•2b
Jawab:
3a•2b
= 3(4 -2)•2(0 -1)
= (12 -6)•(0 -2)
= ((12. 0) (-6. -2))
= (0 12)
Mapel: Matematika
Kelas: 10
Materi: Vektor