# Calculus

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Determine the value of k, so that u = [-3,7] and v = [16,k] are perpendicular.

• Calculus -

they're parallel

• Calculus -

it says determine the value of k so that u and v ARE perpendicular .... if it was parallel, i don't think it would ask me to find k....... unless it's a trick question ...

• Calculus -

slope of u = -7/3
so slope of perpendicular to u = +3/7
so
3/7 = k/16
7 k = 48
k = 48/7

• Calculus -

or...

their dot product must be zero

(-3)(16) + 7k = 0
7k = 48
k = 48/7

• Calculus -

thank you everyone

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