1. Consider the vectors y) = 211) + 3i|p2) and [x) = 5|1) + (3 - 4i) |02), where [01) and 2) are orthonormal, i.e. (øklom) = 8km, where 8km = 1 for k = m and 8km = 0 for k = m. (a) Express ) + x) and (y + (xl in their simplest form using |ø1) and [02). (b) Express (1) in terms of ly) and x).
1. Consider the vectors y) = 211) + 3i|p2) and [x) = 5|1) + (3 - 4i) |02), where [01) and 2) are orthonormal, i.e. (øklom) = 8km, where 8km = 1 for k = m and 8km = 0 for k = m. (a) Express ) + x) and (y + (xl in their simplest form using |ø1) and [02). (b) Express (1) in terms of ly) and x).
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![1. Consider the vectors |) = 2|1₁) + 3i|02) and [x) = 5|ø1) + (3 - 4i) |02), where [01)
:
and 2) are orthonormal, i.e. (x\Pm) = 8km, where 8km = 1 for k = m and 8km = 0
for k = m.
(a) Express ) + x) and (y] + (x) in their simplest form using lø1) and 2).
(b) Express 1) in terms of ly) and [x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466dfe05-514c-4e8d-9e28-eee295fc0d76%2F032d819a-65cb-4a43-9b9c-79c692062e5b%2Flhqdoqd_processed.png&w=3840&q=75)
Transcribed Image Text:1. Consider the vectors |) = 2|1₁) + 3i|02) and [x) = 5|ø1) + (3 - 4i) |02), where [01)
:
and 2) are orthonormal, i.e. (x\Pm) = 8km, where 8km = 1 for k = m and 8km = 0
for k = m.
(a) Express ) + x) and (y] + (x) in their simplest form using lø1) and 2).
(b) Express 1) in terms of ly) and [x).
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