Dengan menggunakan&nbsp;rumus panjang/ modulus vektor, diperoleh&nbsp;

<img align="middle" alt="begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar straight c with rightwards arrow on top close vertical bar end cell equals cell square root of open parentheses negative 4 close parentheses squared plus open parentheses 8 close parentheses squared end root end cell row blank equals cell square root of 16 plus 64 end root end cell row blank equals cell square root of 80 end cell row blank equals cell 4 square root of 5 end cell end table end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mtable columnspacing=¨0px¨ columnalign=¨right center left¨»«mtr»«mtd»«mfenced open=¨|¨ close=¨|¨»«mover»«mi mathvariant=¨normal¨»c«/mi»«mo»§#8594;«/mo»«/mover»«/mfenced»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«msqrt»«msup»«mfenced»«mrow»«mo»-«/mo»«mn»4«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mn»8«/mn»«/mfenced»«mn»2«/mn»«/msup»«/msqrt»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«msqrt»«mn»16«/mn»«mo»+«/mo»«mn»64«/mn»«/msqrt»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«msqrt»«mn»80«/mn»«/msqrt»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«mn»4«/mn»«msqrt»«mn»5«/mn»«/msqrt»«/mtd»«/mtr»«/mtable»«/mstyle»«/math»" height="90" role="math" src="data:image/png;base64,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" style="max-width: none; vertical-align: -47px;" width="127" />&nbsp;

Jadi mudulus vektor&nbsp;<img align="middle" alt="begin mathsize 14px style straight c with rightwards arrow on top end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mover»«mi mathvariant=¨normal¨»c«/mi»«mo»§#8594;«/mo»«/mover»«/mstyle»«/math»" height="15" role="math" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAPCAYAAADd/14OAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAGZJREFUeNpjYMANpjAQCRqBeAcQCyIL/seDNxAysR6ItwExHyGFfQx0BSpAvAqIPwBxDi5FpkC8CYilgZgHXziegZpIEPwi1n23gFiJGIVe0ACWBGI2IO7Ap1gNiLcA8XMgjiUr3AAvrRXQuIZEjAAAAJ90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN0eWxlIG1hdGhzaXplPSIxNHB4Ij48bW92ZXI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPmM8L21pPjxtbz4mI3gyMTkyOzwvbW8+PC9tb3Zlcj48L21zdHlsZT48L21hdGg+85zU8gAAAABJRU5ErkJggg==" style="max-width: none; vertical-align: -1px;" width="10" />&nbsp;adalah&nbsp;<img align="middle" alt="begin mathsize 14px style 4 square root of 5 end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»4«/mn»«msqrt»«mn»5«/mn»«/msqrt»«/mrow»«/mstyle»«/math»" height="16" role="math" src="data:image/png;base64,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" style="max-width: none; vertical-align: -2px;" width="32" />.&nbsp;

Tentukan modulus dari vektor-vektor berikut!&nbsp;

a.&nbsp;<img align="middle" alt="begin mathsize 14px style straight c with rightwards arrow on top equals open parentheses table row cell negative 4 end cell row 8 end table close parentheses end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mover»«mi mathvariant=¨normal¨»c«/mi»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«mfenced»«mtable»«mtr»«mtd»«mo»-«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»8«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»" height="39" role="math" src="data:image/png;base64,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" style="max-width: none; vertical-align: -15px;" width="65" />&nbsp;&nbsp;&nbsp;&nbsp;

matematika

bahasa indonesia

ipa terpadu

fisika

biologi

bahasa inggris

geografi

sosiologi

sejarah

kimia

ekonomi

Tentukan modulus dari vektor-vektor berikut! a.

Jawaban: