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Műveletek vektorokkal

Authored by Zsolti Tóth

Mathematics

9th Grade

Used 5+ times

Műveletek vektorokkal
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11 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A(2;−5), B(6; 2)A\left(2;-5\right),\ B\left(6;\ 2\right)  . írd fel az AB‾\overline{AB}  vektor koordinátáit.

AB‾=(5; 3)\overline{AB}=\left(5;\ 3\right)  

AB‾=(4;− 3)\overline{AB}=\left(4;-\ 3\right)  

AB‾=(4; 7)\overline{AB}=\left(4;\ 7\right)  

AB‾=(5; −3)\overline{AB}=\left(5;\ -3\right)  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Számítsd ki a vektorok összegét, ha:  a‾=(−2; 1)  b‾=(2; 1)\overline{a}=\left(-2;\ 1\right)\ \ \overline{b}=\left(2;\ 1\right)  

 a‾+b‾=(0; 2)\overline{a}+\overline{b}=\left(0;\ 2\right)  

 a‾+b‾=(−4; 2)\overline{a}+\overline{b}=\left(-4;\ 2\right)  

 a‾+b‾=(0; 0)\overline{a}+\overline{b}=\left(0;\ 0\right)  

 a‾+b‾=(0; 2)\overline{a}+\overline{b}=\left(0;\ 2\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Számítsd ki a  2\overline{a}  koordinátáit, ha  a‾=(3; −5)\overline{a}=\left(3;\ -5\right)  

 2a‾=(3; −10)2\overline{a}=\left(3;\ -10\right)  

 2a‾=(6; −10)2\overline{a}=\left(6;\ -10\right)  

 2a‾=(6; −3)2\overline{a}=\left(6;\ -3\right)  

 2a‾=(−6; 10)2\overline{a}=\left(-6;\ 10\right)  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Számítsd ki a vektor hosszát, ha  \overline{a}=\left(5;\ 12\right)  

 ∣a‾∣=17\left|\overline{a}\right|=17  

 ∣a‾∣=12\left|\overline{a}\right|=12  

 ∣a‾∣=13\left|\overline{a}\right|=13  

 ∣a‾∣=17\left|\overline{a}\right|=\sqrt{17}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 a‾=(2; 3), b‾=(−1; 0)\overline{a}=\left(2;\ 3\right),\ \overline{b}=\left(-1;\ 0\right)  Határozd meg a  2a‾−3b‾2\overline{a}-3\overline{b}  vektor koordinátáit.

 2a‾−3b‾=(−2; 5)2\overline{a}-3\overline{b}=\left(-2;\ 5\right)  

 2a‾−3b‾=(7; 6)2\overline{a}-3\overline{b}=\left(7;\ 6\right)  

 2a‾−3b‾=(7; −6)2\overline{a}-3\overline{b}=\left(7;\ -6\right)  

 2a‾−3b‾=(1; 6)2\overline{a}-3\overline{b}=\left(1;\ 6\right)  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 a‾=(5; −2)\overline{a}=\left(5;\ -2\right)  Melyik vektorral kollineáris?

 b‾=(10; 4)\overline{b}=\left(10;\ 4\right)  

 c‾=(−15; −4)\overline{c}=\left(-15;\ -4\right)  

 d‾=(20; −8)\overline{d}=\left(20;\ -8\right)  

 e‾=(−20; 16)\overline{e}=\left(-20;\ 16\right)  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

a‾=(−8;6),\overline{a}=\left(-8;6\right),  Számítsd ki a vektor skalásis négyzetét.

a‾2=10\overline{a}^2=10  

a‾2=−2\overline{a}^2=-2  

a‾2=−10\overline{a}^2=-10  

a‾2=2\overline{a}^2=2  

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