Question

show the points A(0,-3/2),B(1,-1)C(-1/2) are collinear​

Answer 1

Answer:

this is the ansewer

Step-by-step explanation:

three points are collinear, then they lie on a line.

Let first calculate distance between the 3 points

i.e, PQ, QR and PR

P(1,2,3) and Q(7,0,1)

PQ=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

+(z

2

−z

1

)

2

PQ=

(7−1)

2

+(0−2)

2

+(1−3)

2

PQ=

36+4+4

PQ=

44

PQ=2

11

Q(7,0,1) and R(-2,3,4)

QR=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

+(z

2

−z

1

)

2

QR=

(−2−7)

2

+(3−0)

2

+(4−1)

2

QR=

81+9+9

QR=

99

QR=3

11

P(1,2,3) and R(-2,3,4)

PR=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

+(z

2

−z

1

)

2

PR=

(−2−1)

2

+(3−2)

2

+(4−3)

2

PR=

9+1+1

PR=

11

So, PR+PQ=

11

+2

11

=3

11

=QR

Thus, P,Q and R all collinear.