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September 2021
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sangers1959
Verified answer
1. a) a=(0;-22) a=(0;-22j)
b) a=(8;-6;3) a=(8i;-6j;3k)
2. a) a=(k;-4) b=(8;2) a⊥b b) a=(-2;-3;5) b=(4;p;-10) a⊥b
8k+(-4)*2=0 (-2)*4+(-3)*p+5*(-10)=0
8k-8=0 -8-3p-50=0
8k=8 3p=-58
k=1 p=-19¹/₃.
c) a=(k;-4) b=(8;2) a||b d) a=(-2;-3;5) b=(4;p;-10) a||b
k/8=-4/2 -2/4=-3/p=5/(-10)
2k=-32 -1/2=-3/p=-1/2
k=-16 -3/p=-1/2
-p=(-3)*2
-p=-6
p=6.
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Answers & Comments
Verified answer
1. a) a=(0;-22) a=(0;-22j)b) a=(8;-6;3) a=(8i;-6j;3k)
2. a) a=(k;-4) b=(8;2) a⊥b b) a=(-2;-3;5) b=(4;p;-10) a⊥b
8k+(-4)*2=0 (-2)*4+(-3)*p+5*(-10)=0
8k-8=0 -8-3p-50=0
8k=8 3p=-58
k=1 p=-19¹/₃.
c) a=(k;-4) b=(8;2) a||b d) a=(-2;-3;5) b=(4;p;-10) a||b
k/8=-4/2 -2/4=-3/p=5/(-10)
2k=-32 -1/2=-3/p=-1/2
k=-16 -3/p=-1/2
-p=(-3)*2
-p=-6
p=6.