Ex 10.2, 2 - Class 12

Transcript

Ex 10.2, 2 Write two different vectors having same magnitude. Let us take two different vectors, 𝑎﷯ = 2 𝑖﷯ + 𝑗﷯ + 𝑘﷯ = 2 𝑖﷯ + 1 𝑗﷯ + 1 𝑘﷯ And 𝑏﷯ = 𝑖﷯ + 𝑗﷯ + 2 𝑘﷯ = 1 𝑖﷯ + 1 𝑗﷯ + 2 𝑘﷯ Magnitude of 𝑎﷯ = ﷮22+12+12﷯ 𝑎﷯﷯ = ﷮4+1+1﷯ = ﷮6﷯ Magnitude of 𝑏﷯ = ﷮12+12+22﷯ 𝑏﷯﷯ = ﷮1+1+4﷯ = ﷮6﷯ ∴ Magnitude of 𝑎﷯ = Magnitude of 𝑏﷯ = ﷮6﷯ Thus two different vectors having the same magnitude are 𝑎﷯ = 2 𝒊﷯ + 𝒋﷯ + 𝒌﷯ and 𝑏﷯ = 𝒊﷯ + 𝒋﷯ + 2 𝒌﷯