JAWABAN 1731130032 GARNIS KARTIKO SARI
JAWABAN SOAL NO.1
a.) 2i + 4j - k (2i + j + 2k x 4j - k)
((2i x 4j) + (2i x -k) + (j x 4j) + (j x -k) + (2k x 4j) + (2k x -k))
(8k + j + 0 + (-i) -8i + 0)
(2i . -9i) + (2i . j) + (2i . 8k) + (4j . -9i) + (4j . j) + (4j . 8k) + (-k . 9i) + (-k . j) + (-k . 8k)
-18 + 2 + 16 -36 + 4 + 32 -9 -1 -7 = -18
b.) 2i + j +2k (2i + 4j - k + 4j - k)
(2i + 8j)
(2i x 2i) + (2i x 8j) + (j x 2i) + (j x 8j) + (-k x 2i) + (-k x 8j)
0 + 16k + 2k + 0 + -2i + 8j = -2i + 8j + 32k
JAWABAN SOAL NO.2
a.) 2i + 4j - k (2i + j + 2k x 4j - k)
((2i x 4j) + (2i x -k) + (j x 4j) + (j x -k) + (2k x 4j) + (2k x -k))
(8k + j + 0 + (-i) -8i + 0)
(2i . -9i) + (2i . j) + (2i . 8k) + (4j . -9i) + (4j . j) + (4j . 8k) + (-k . 9i) + (-k . j) + (-k . 8k)
-18 + 2 + 16 -36 + 4 + 32 -9 -1 -7 = -18
b.) 2i + j +2k (2i + 4j - k + 4j - k)
(2i + 8j)
(2i x 2i) + (2i x 8j) + (j x 2i) + (j x 8j) + (-k x 2i) + (-k x 8j)
0 + 16k + 2k + 0 + -2i + 8j = -2i + 8j + 32k
JAWABAN SOAL NO.2