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find the values of the scalar s for which the two vectors

b=X+sY and c=X-sY

are orthogonal

also explain your answers with a sketch:

my working

(X,sY).(X,-sY) has to equal 0 for them to be orthogonal

x.x = 1 since they are unit vectors

sY.-sY = -1 to make the whole thing 0

s = 1

1*y . -1*y = -1

1-1 =0

sketch would be two vectors perpendicular to one another?