Jawaban:
1. 11i - j + 35k
2. ( 1 ) 4i + 2j + 4k
( 2 ) 5i + 7j - 31k
Penjelasan dengan langkah-langkah:
1. -3(a) + 4(b)
= -3( -i + j -k ) + 4( 2i + 0 + 8k )
= 3i - j + 3k + 8i + 0 + 32k
= ( 3i + 8i ) - j + ( 3k + 32k )
= 11i - j + 35k
2.
1. a + b + c
= ( -i + j - k ) + ( 2i + 8k ) + ( 3i + j - 3k)
= ( -i + 2i + 3i ) + ( j + j ) + ( -k + 8k - 3k )
= 4i + 2j + 4k
2. 3a - 2b + 4c
= 3( -i + j - k ) - 2( 2i + 8k ) + 4( 3i + j - 3k)
= -3i + 3j - 3k - 4i - 16k + 12i + 4j - 12k
= (-3i - 4i + 12i )+( 3j + 4j )+(-3k - 16k - 12k)
= 5i + 7j - 31k
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Jawaban:
1. 11i - j + 35k
2. ( 1 ) 4i + 2j + 4k
( 2 ) 5i + 7j - 31k
Penjelasan dengan langkah-langkah:
1. -3(a) + 4(b)
= -3( -i + j -k ) + 4( 2i + 0 + 8k )
= 3i - j + 3k + 8i + 0 + 32k
= ( 3i + 8i ) - j + ( 3k + 32k )
= 11i - j + 35k
2.
1. a + b + c
= ( -i + j - k ) + ( 2i + 8k ) + ( 3i + j - 3k)
= ( -i + 2i + 3i ) + ( j + j ) + ( -k + 8k - 3k )
= 4i + 2j + 4k
2. 3a - 2b + 4c
= 3( -i + j - k ) - 2( 2i + 8k ) + 4( 3i + j - 3k)
= -3i + 3j - 3k - 4i - 16k + 12i + 4j - 12k
= (-3i - 4i + 12i )+( 3j + 4j )+(-3k - 16k - 12k)
= 5i + 7j - 31k