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Given that the vectors a and b are non-collinear, the values of x and y for which the vector equality 2u - v = w holds true if u = xa + 2y b, v = - 2y a + 3xb, w = 4a - 2b are |
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Answer» `x=(4)/(7),y=(6)/(7)` `implies 2(xa+2yb)-(-2ya+3xb)=4a-2b` `implies (2x+2y-4)a+(-3x+4y+2)b=0` `implies 2x+2y-4=0 and -3x+4y+2=0`[`because` a, b are non-collinear] `x=(10)/(7), y=(4)/(7)` |
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