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Quiz Vektor Tingkatan 4

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Quiz Vektor Tingkatan 4

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Ujian vektor asas dan lanjutan

Created by

QUEAIZAM AFIF QUZNI BIN KAMRI KPM-MURID
QUEAIZAM AFIF QUZNI BIN KAMRI KPM-MURID
Malaysia

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Quiz Vektor Tingkatan 4
 

Quiz Vektor Tingkatan 4Online version

Ujian vektor asas dan lanjutan

by QUEAIZAM AFIF QUZNI BIN KAMRI KPM-MURID
1

Apakah magnitud (nilai panjang) vektor a = (3, -4) dalam koordinat 2D?

2

Jika a = (2,3) dan b = (-1,4), apakah hasil tambah a + b?

3

Satu vektor unit ialah vektor dengan magnitud berapa?

4

Nilaikan dot product a · b untuk a=(1,2) dan b=(3,4). Apa hasilnya?

5

Jumlah antara vektor a=(2,1) dan b=(-4,3) adalah?

6

Projeksi vektor a onto b dinyatakan sebagai projek(a onto b). Jika a=(3,0) dan b=(0,4), projek adalah?

7

Muka luas parallelogram dibentuk oleh vektor a=(2,3) dan b=(1,-1) adalah?

8

Jika dua vektor sejajar, apa tanda hasil dot product a · b?

9

Diberi a=(4,0) dan b=(1,3). Magnitud silang dalam 2D (abs huruf) ialah?

10

Apakah makna vektor kedudukan jika ia menunjukkan perpindahan dari O ke P?

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Magnitud = sqrt(3^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5.

a + b = (2+(-1), 3+4) = (1,7).

Vektor unit mempunyai magnitud 1 untuk menunjukkan arah.

a · b = 1*3 + 2*4 = 3 + 8 = 11.

a + b = (2-4, 1+3) = (-2,4).

Jika a orthogonal kepada b, projek adalah (0,0).

Luas = |a_x b| = |(2,3) × (1,-1)| = |2*(-1) - 3*1| = |-2 -3| = 5.

Dot product bergantung arah; jika selari, tanda mengikut arah sama atau bertentangan.

Dalam 2D, magnitud silang = |a_x b_y - a_y b_x| = |4*3 - 0*1| = 12.

Vektor kedudukan mewakili perpindahan dari asal kepada kedudukan P.

 
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