Question

1. a) Find a value of x other than 0 such that the vectors <-3x, 2x>...

1.

a) Find a value of x other than 0 such that the vectors <-3x, 2x> and <4, x> are perpendicular

b) find the domain of the vector function r (t) = <sin (t), ln (t), 1 / (t-1)>

c) Determine if the sequence converges or diverges, if it converges determines its limit
ln (2 + e ^ n) / 2020n

d) Find the point (a, b, c) where the line x = 1-t, y = t, z = 1 + t and the plane 2x-y + z = 1 intersect. Write the value of a + b + c

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