The straight lines frac{x - 1}{1} = frac{y - | vedclass

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(D) The direction ratios of the first line are $\vec{b_1} = (1, 2, 3)$.The direction ratios of the second line are $\vec{b_2} = (2, 2, -2)$.Both lines

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Intersecting at right angle

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(D) The direction ratios of the first line are $\vec{b_1} = (1, 2, 3)$.The direction ratios of the second line are $\vec{b_2} = (2, 2, -2)$.Both lines pass through the point $(1, 2, 3)$,so they intersect at this point.To check the angle between them,we calculate the dot product of the direction vectors:$\vec{b_1} \cdot \vec{b_2} = (1)(2) + (2)(2) + (3)(-2) = 2 + 4 - 6 = 0$.Since the dot product is $0$,the lines are perpendicular to each other.Therefore,the lines are intersecting at a right angle.

The straight lines $\frac{x - 1}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}$ and $\frac{x - 1}{2} = \frac{y - 2}{2} = \frac{z - 3}{-2}$ are

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