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Diketahui vektor p ​ = 2 i − m j ​ + 3 k dan q ​ = 2 i − j ​ + m k saling tegak lurus, maka nilai m = ....

Diketahui vektor  dan  saling tegak lurus, maka nilai =  ....

  1. -2

  2. -1

  3. 0

  4. 1

  5. 2

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Pembahasan

Ingat: Jika tegak lurus maka Karena dan saling tegak lurus, artinya

Ingat:

Jika begin mathsize 14px style straight a with rightwards arrow on top end style tegak lurus begin mathsize 14px style straight b with rightwards arrow on top end style maka begin mathsize 14px style straight a with rightwards arrow on top space. space straight b with rightwards arrow on top equals 0 end style

Karena begin mathsize 14px style straight p with rightwards arrow on top end style dan begin mathsize 14px style straight q with rightwards arrow on top end style saling tegak lurus, artinya begin mathsize 14px style straight p with rightwards arrow on top space. space straight q with rightwards arrow on top equals 0 end style

begin mathsize 14px style straight p with rightwards arrow on top space. space straight q with rightwards arrow on top equals 0 open parentheses 2 straight i with rightwards arrow on top minus straight m straight j with rightwards arrow on top plus 3 straight k with rightwards arrow on top close parentheses space. space open parentheses 2 straight i with rightwards arrow on top minus straight j with rightwards arrow on top plus straight m straight k with rightwards arrow on top close parentheses equals 0 4 plus straight m plus 3 straight m equals 0 space space 4 plus 4 straight m equals 0 space space 4 straight m equals negative 4 space space straight m equals negative 1 end style 

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Vektor a = i + 4 j ​ − 4 k dan vektor b = 2 i + p j ​ − k . Jika a tegak lurus vektor b maka a + b = ....

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