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- (i) if OA is perpendicular to OC then: OA∙OC = 0
- OA∙OC = 1*0 + 2p*q + q*(-2p)
- = 2pq - 2pq
- = 0
- ∴OA is perpendicular to OC
- (ii) CA = OA - OC
- = (i + 2pj + qk) - [-(4p²+q²)i + 2pj + qk]
- = (4p²+q²-1)i
- |CA| = √(4p²+q²-1)²
- = 4p²+q²-1
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