Statement I The distance between the points P(1,-3,4) and Q(-4,1,2) is √5 units. Statement II P Q=√(x2-x1)2+(y2-y1)2+(z2-z1)2 where, P and Q are (x1, y1, z1) and (x2, y2, z2).

Question

Statement I The distance between the points P(1,-3,4) and Q(-4,1,2) is √5 units. Statement II P Q=√(x2-x1)2+(y2-y1)2+(z2-z1)2 where, P and Q are (x1, y1, z1) and (x2, y2, z2). (A) Statement I is true; Statement II is true; Statement II is a correct explanation for Statement I (B) Statement I is true; Statement II is true; Statement II is not a correct explanation for Statement I (C) Statement I is true; Statement II is false (D) Statement I is false; Statement II is true

Tardigrade Admin · Accepted Answer

The distancee P Q between the points P(1,-3, 4) and Q(-4,1,2) is P Q =√(-4-1)2+(1+3)2+(2-4)2 =√25+16+4=√45=3 √5 units

Q. Statement I The distance between the points $P (1, - 3, 4)$ and $Q (- 4, 1, 2)$ is $5$ units.
Statement II $PQ = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2}$
where, $P$ and $Q$ are $(x_{1}, y_{1}, z_{1})$ and $(x_{2}, y_{2}, z_{2})$ .

Statement I is true; Statement II is true; Statement II is a correct explanation for Statement I

Statement I is true; Statement II is true; Statement II is not a correct explanation for Statement I

Statement I is true; Statement II is false

Statement I is false; Statement II is true

The distancee $PQ$ between the points
$P (1, - 3, 4)$ and $Q (- 4, 1, 2)$ is
$PQ = (- 4 - 1)^{2} + (1 + 3)^{2} + (2 - 4)^{2}$
$= 25 + 16 + 4 = 45 = 35$ units

Q. Statement I The distance between the points P(1,−3,4) and Q(−4,1,2) is 5​ units. Statement II PQ=(x2​−x1​)2+(y2​−y1​)2+(z2​−z1​)2​ where, P and Q are (x1​,y1​,z1​) and (x2​,y2​,z2​).