1)
Magnitude of PQ
∣PQ∣=42+32+22=29
2)
I)A′×B′=∣∣i32j−13k2−1∣∣=i(1−6)−j(−3−4)+k(9−(−2))=−5i+7j+11k
I I)A′×(2A′+3B′)2A′+3B′=2(3i−j+2k)+3(2i+3j−k)2A′+3B′=12i+7j+kA′×(2A′+3B′)=∣∣i312j−17k21∣∣=i(−1−14)−j(3−24)+k(21+12)=−15i+21j+33k
III)
A′⋅B′=3⋅2−1⋅3+2⋅−1=6−3−2=1
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