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Diketahui vektor p ​ = 3 i + 2 k ; q ​ = i − 2 j ​ + 3 k ; r = − 4 i + 3 j ​ − k Tentukan nilai berikut ini. h. ( 3 p ​ × r ) × q ​

Diketahui vektor   
Tentukan nilai berikut ini.
h. 

  1. ....

  2. ....

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S. Indah

Master Teacher

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nilai dari adalah .

nilai dari open parentheses stack 3 p with rightwards arrow on top cross times r with rightwards arrow on top close parentheses cross times q with rightwards arrow on top adalah negative 36 i with rightwards arrow on top minus 18 k with rightwards arrow on top.

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Pembahasan

Diketahui: Ditanya: ? Jawab: Jadi, nilai dari adalah .

Diketahui:

p with rightwards arrow on top equals 3 i with rightwards arrow on top plus 2 k with rightwards arrow on top semicolon

q with rightwards arrow on top equals i with rightwards arrow on top minus 2 j with rightwards arrow on top plus 3 k with rightwards arrow on top semicolon

r with rightwards arrow on top equals negative 4 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top

Ditanya: open parentheses stack 3 p with rightwards arrow on top cross times r with rightwards arrow on top close parentheses cross times q with rightwards arrow on top?

Jawab:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 p with rightwards arrow on top cross times r with rightwards arrow on top close parentheses cross times q with rightwards arrow on top end cell equals cell left parenthesis 3 open parentheses 3 i with rightwards arrow on top plus 0 j with rightwards arrow on top plus 2 k with rightwards arrow on top close parentheses cross times open parentheses negative 4 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top close parentheses right parenthesis cross times i with rightwards arrow on top minus 2 j with rightwards arrow on top plus 3 k with rightwards arrow on top end cell row blank equals cell left parenthesis open parentheses 9 i with rightwards arrow on top plus 0 j with rightwards arrow on top plus 6 k with rightwards arrow on top close parentheses cross times open parentheses negative 4 i with rightwards arrow on top plus 3 j with rightwards arrow on top minus k with rightwards arrow on top close parentheses right parenthesis cross times i with rightwards arrow on top minus 2 j with rightwards arrow on top plus 3 k with rightwards arrow on top end cell row blank equals cell open parentheses negative 36 i with rightwards arrow on top plus 0 j with rightwards arrow on top minus 6 k with rightwards arrow on top close parentheses cross times open parentheses i with rightwards arrow on top minus 2 j with rightwards arrow on top plus 3 k with rightwards arrow on top close parentheses end cell row blank equals cell open parentheses negative 36 i with rightwards arrow on top plus 0 j with rightwards arrow on top minus 18 k with rightwards arrow on top close parentheses end cell row blank equals cell negative 36 i with rightwards arrow on top minus 18 k with rightwards arrow on top end cell end table

Jadi, nilai dari open parentheses stack 3 p with rightwards arrow on top cross times r with rightwards arrow on top close parentheses cross times q with rightwards arrow on top adalah negative 36 i with rightwards arrow on top minus 18 k with rightwards arrow on top.

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