Kurio pradžia sutampa su pabaiga

Kurio ilgis yra neigiamas skaičius

Kuris nusakomas vektoriais i ir j

Lygiakraščio trikampio ABC kraštinės ilgis 4.Taškas K yra kraštinės AC vidurio taškas. Raskite vektorių ∣ K A ∣ + ∣ A B ∣ \left|KA\right|\ +\ \left|AB\right| ∣ K A ∣ + ∣ A B ∣ ilgį?

2 3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Lygiakraščio trikampio ABC kraštinės ilgis 4.Taškas K yra kraštinės AC vidurio taškas. Raskite vektorių ∣ K A + A B ∣ \left|KA+AB\right| ∣ K A + A B ∣

2 3 2\sqrt{3} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Duotas stačiakampis ABCD, kurio kraštinės yra 1 ir 2cm. Raskite vektoriaus AB+BC ilgį?

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

11

Authored by Nijolė Grigorjevienė

Mathematics

Professional Development

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vektorių sudedame pagal taisyklę?

trikampio

dalybos

trapecijos

daugybos

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vektoriai yra statmeni, kai

skaliarinė sandauga yra lygi nuliui

skaliarinė sandauga yra lygi vienam

skaliarinė sandauga yra lygi minus vienam

skaliarinė sandauga bet koks iracionalus skaičius

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Ar bet kokį vektorių galima išreikšti vienetiniais vektoriais?

taip

tik kolinearius

tik vienakrypčius

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vektoriaus a $=$ -2 i +3j + 7k koordinatės yra

(2;3;7)

(-2;-3;-7)

(-2;3;7)

(i ;j; k )

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Taškas A(-1; 2; 3) , B (-5; 6; -1). Tai vektoriaus AB koordinatės

(-4; 4; -2)

(-6; 4; -4)

( -4; 8;-4)

(-4; 4; -4)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Vektorius a(3; -1; 0) ir vektorius b(-3; -3; -3) koordinatės.Tai vektorių skaliarinė sandauga a*b

-6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Vektorius a(2 ;3; 1) ir vektorius b(6; 2 ; -4) koordinatės.Tai kampas tarp vektorių yra

90 laipsnių

60 laipsnių

30 laipsnių

45 laipsniai

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Vektoriaus a(0; -3; 4) ilgis yra

$\sqrt{13}$

$\sqrt{7}$

-5

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