Prove that following vectors are perpendicular to each other
(i) 𝑨⃗⃗ =(𝒊̂+𝟐𝒋̂+𝟑𝒌̂) and 𝑩⃗⃗ =(𝟐𝒊̂−𝒋̂)
(ii) 𝑪⃗⃗ =(𝟑𝒊̂−𝟐𝒋̂+𝟖𝒌̂) and 𝑫⃗⃗ =(𝟐𝒊̂+𝟐𝒋̂−𝟏/𝟒𝒌̂)
(iii) 𝑬⃗⃗ =(𝟏𝟖𝒊̂+𝟔𝒋̂+𝟔𝒌̂) and 𝑭⃗⃗ =(−𝟐𝒊̂+𝟑𝒋̂+𝟑𝒌̂)
(iv) 𝑮⃗⃗ =(−𝟔𝒊̂+𝟑/𝟒𝒌̂) and 𝑯⃗⃗⃗ =(𝟏/𝟐𝒊̂+𝟐/𝟑𝒋̂+𝟒𝒌̂)
i) False
ii) False
iii) False
iv) False
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