Vektorni songa ko'paytirish. Vektorning koordinatalari — 8-sinf Geometriya test savollari

1.A(-3; 0) nuqta a(-7; -8) vektorning boshi bo'lsa, bu vektor oxiri B ning koordinatalarini toping.

• A)(-10; -8)
• B)(4; 8)
• C)(-10; 8)
• D)(10; -8)

2.A(-1; 5) nuqta a(2; -3) vektorning boshi bo'lsa, bu vektor oxiri B ning koordinatalarini toping.

• A)(1; 2)
• B)(-3; 8)
• C)(1; -2)
• D)(-1; 2)

3.a(m; 24) vektorning uzunligi 25 ga teng. m ning barcha qiymatlarini toping.

• A)m = ±7
• B)m = ±1
• C)m = 7 (faqat musbat)
• D)m = ±49

4.A(5; -3) nuqta a(-7; -8) vektorning boshi bo'lsa, bu vektor oxiri B ning koordinatalarini toping.

• A)(-2; -11)
• B)(12; 5)
• C)(-2; 5)
• D)(2; -11)

5.k ning qanday qiymatlarida |ka| > |a| bo'ladi (a ≠ 0)?

• A)k < -1 yoki k > 1
• B)-1 < k < 1
• C)k > 1 (faqat musbat)
• D)k < -1 (faqat manfiy)

6.a ≠ 0 vektor uchun k ning qanday qiymatida ka = -a bo'ladi?

• A)k = -1
• B)k = 1
• C)k = ±1
• D)k < -1

7.a = -2i - 3j va b = -2j vektorlar berilgan. c = 2a - b vektorning koordinatalarini toping.

• A)(-4; -4)
• B)(-4; -8)
• C)(4; -4)
• D)(-4; 4)

8.A(-1; -3) va B(2; -4) nuqtalar berilgan. AB vektorining koordinatalarini toping.

• A)(3; -1)
• B)(-3; 1)
• C)(1; -7)
• D)(3; 1)

9.A(2; -4) va B(2; -1) nuqtalar uchun AB vektorining uzunligini toping.

• A)3
• B)9
• C)0
• D)√13

10.a(-2; 6) vektorga qarama-qarshi vektorni toping.

• A)(2; -6)
• B)(-2; 6)
• C)(2; 6)
• D)(-2; -6)