If a and b represent two non-collinear vector | vedclass

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(B) Given the equation of a line passing through the points with position vectors $a$ and $b$ is $r = ta + (1-t)b$, where $t$ is a scalar parameter.Re

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a point on the line joining the points whose position vectors are $a$ and $b$

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(B) Given the equation of a line passing through the points with position vectors $a$ and $b$ is $r = ta + (1-t)b$, where $t$ is a scalar parameter.Rearranging the equation, we get $r - b = t(a - b)$.This implies that the vector $(r - b)$ is collinear with the vector $(a - b)$.Thus, the locus of the point represented by $r$ is the straight line passing through the points represented by vectors $a$ and $b$.When $0 \leq t \leq 1$, the point $r$ lies on the line segment joining the points with position vectors $a$ and $b$.

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

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