If $a$ and $b$ represent two non-collinear vectors, the equation $r = ta + (1-t)b$ represents

  • A
    a point on the third side of a triangle for which $a$ and $b$ are two sides, only when $0 \leq t \leq 1$
  • B
    a point on the line joining the points whose position vectors are $a$ and $b$
  • C
    a vector in the plane of $a$ and $b$ only when $t > 1$
  • D
    a vector in the plane parallel to the plane of $a$ and $b$, only when $-1 \leq t \leq 1$

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