what is the angle between (icap +jcap) and (icap - jcap)?

let

a = i + j

b =i-j

since, magnitute of a =magnitute ofb = sq. root 2

using dot product,

a . b = ab cos@

(i+j)(i-j) =sq. root 2 *sq. root 2 cos@

1 - 1 = 2cos@

cos@ = 0

@= 900 =pi/2

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What is the projection I cap + j cap on I cap - j cap
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What is the angle between i cap +j cap and i cap - j cap
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