Ask a New Question

Question

Find the value(s) of t for which the vectors are parallel.
a = (t, t+2)
b = (2-3t, t)

I managed to work it down to t = 2k - 3t - 6, but I don't know what to after that.
7 years ago

Answers

Reiny
recall that for any vector of the form <a,b> the slope of the vector is b/a.

So their slopes must be the same:
(t+2)/t = t/(2-3t)
t^2 = 2t -3t^2 + 4 -6t
4t^2 + 4t -4 = 0
t^2 + t - 1 = 0

solve using the quadratic formula.
7 years ago

Related Questions

find the value(s) of x for which f(x)=g(x). f(x)=x^4-2x^2,g(x)=2x^2 Find the function y = y(x) which solves the initial value problem: 4sec(x)*dy/dx = e^(y+sin(x)) wher... Find the value(s) of k for which the pair of equations: Equation 1: kx + (k+1)y = 8 Equation 2: 4... Find the value(s) of x for which the equation is true. log(x + 20) = log(x) + log(20) Solve the... find the value of of n for which 1/2n^2-13n 15 is not defined? 3) Find the value of m for which (i) (5^m×5^3×5^(-2))/5^(-5) =5^12 (ii) (2/9)^3×(2/9)^(-6)=... Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. 2x-2 y... Find the value of x for which ABCD must be a parallelogram. 4x - 1 x + 26 9 8... Find the value of x for which ABCD must be a parallelogram. (5x-3) (14x-48) 22 5... A farmer wants to find out which type of soil is best for growing his corn. He also wants to find ou...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use