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D ik e t ah u i a = i − 2 j + 3 k d an b = 3 i + j + 2 k . V e k t or c y an g p anjan g n y a 3 ser t a t e g ak l u r u s t er ha d a p a d an b a d a l ah ...

  1. 3( i - j -k)

  2. square root of 3 space left parenthesis i space minus j space minus k space space right parenthesis

  3. square root of 3 space left parenthesis i space minus j space plus k space space right parenthesis

  4. square root of 3 space left parenthesis i space plus j space minus k space space right parenthesis

  5. 3( i + j -k)

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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Pembahasan

K a r e n a space a with rightwards arrow on top space d a n space stack b space with rightwards arrow on top b e r a d a space d i space R cubed comma m a k a space c with rightwards arrow on top space j u g a space b e r a d a space d i space R cubed d a n space m e m i l i k i space b e n t u k space space space space space space space space space space space space space space space space space space space space c with rightwards arrow on top space equals p i space plus q j space plus r k space P a n j a n g space v e k t o r space c with rightwards arrow on top space space a d a l a h space 3 comma space s e h i n g g a space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space vertical line c with rightwards arrow on top space vertical line equals 3 space space space space space space space space space space space space space space space space space space space space space space space square root of p squared plus q squared plus r squared end root equals 3 space space space space space space space space space space space space space space space space space space space space space space space space space space p squared plus q squared plus r squared equals 9 V e k t o r space c with rightwards arrow on top space space t e g a k space l u r u s space t e r h a d a p space v e k t o r space a with rightwards arrow on top space comma space s e h i n g g a space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space c with rightwards arrow on top times a with rightwards arrow on top equals 0 space space space space space space space space space space space space space space space space space space space space space space space left parenthesis p i space plus q j space plus r k space space right parenthesis times left parenthesis i space ̂ minus 2 j space ̂ plus 3 k space ̂ space right parenthesis equals 0 space space space space space space space space space space space space space space space space space space space space space space space space p times 1 plus q times left parenthesis negative 2 right parenthesis plus r times 3 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p minus 2 q plus 3 r equals 0 D a n space v e k t o r space c with rightwards arrow on top space t e g a k space l u r u s space t e r h a d a p space v e k t o r space b with rightwards arrow on top comma space s e h i n g g a space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space c with rightwards arrow on top times b with rightwards arrow on top equals 0 space space space space space space space space space space space space space space space space space space space space space space left parenthesis p i space plus q j space plus r k space space right parenthesis times left parenthesis 3 i space plus j space plus 2 k space space right parenthesis equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space p times 3 plus q times 1 plus r times 2 equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 3 p plus q plus 2 r equals 0 A k i b a t n y a space d i d a p a t space 3 space p e r s a m a a n space s e b a g a i space b e r i k u t space colon p squared plus q squared plus r squared equals 9 horizontal ellipsis left parenthesis 1 right parenthesis p minus 2 q plus 3 r equals 0 horizontal ellipsis left parenthesis 2 right parenthesis 3 p plus q plus 2 r equals 0 horizontal ellipsis left parenthesis 3 right parenthesis D a r i space p e r s a m a a n space left parenthesis 2 right parenthesis space d a n space left parenthesis 3 right parenthesis p minus 2 q plus 3 r equals 0 vertical line cross times 3 vertical line 3 p minus 6 q plus 9 r equals 0 3 p plus q plus 2 r equals 0 vertical line cross times 1 vertical line 3 p plus q plus 2 r equals 0 minus space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space minus 7 q plus 7 r equals 0 rightwards arrow q equals r space S u b s t i t u s i space h a s i l space d i space a t a s space k e space p e r s a m a a n space left parenthesis 2 right parenthesis comma space d i d a p a t p minus 2 q plus 3 r equals 0 p minus 2 r plus 3 r equals 0 space p plus r equals 0 space p equals negative r J i k a space d i s u b s t i t u s i space k e space p e r s a m a a n space left parenthesis 1 right parenthesis comma space d i d a p a t p squared plus q squared plus r squared equals 9 left parenthesis negative r right parenthesis squared plus r squared plus r squared equals 9 3 r squared equals 9 r squared equals 3 r equals square root of 3 space a t a u space r equals negative square root of 3 M i s a l k a n space r equals square root of 3 comma space m a k a space q equals r equals square root of 3 space d a n space p equals negative r equals negative square root of 3. space S e h i n g g a space space space space space space space space space space space space space space space space space space c with rightwards arrow on top equals space p i space plus q j space plus r k space equals negative square root of 3 space i end root space plus square root of 3 space j end root space plus square root of 3 space k end root space equals square root of 3 space left parenthesis negative i plus j plus k right parenthesis M i s a l k a n space r equals square root of 3 comma space m a k a space q equals r equals negative square root of 3 space d a n space p equals negative r equals square root of 3. space S e h i n g g a space space space space space space space space space space space space space space space space space space space c with rightwards arrow on top equals space p i space plus q j space plus r k space equals negative square root of 3 space i end root space minus square root of 3 space j end root space minus square root of 3 space k end root space equals square root of 3 space left parenthesis i minus j minus k right parenthesis

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