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Standard Equation of a Straight Line

13. Let P(3 2...

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13. Let P(3 2 6) be a point in space and Q be a point on the line r(vector)=(i-j+2k)+(3i+j+5k) then the value of for which the vector PQ is parallel to the plane x+4y+3z=1 is a)1/4. b)-1/4. c)1/8. d)-1/8

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P (3, 2, 6)

be a point in space and

Q

be a point on the line

\to r =^i -^j + 2^k + s (- 3^i +^j + 5^k)

. Then the value of

s

- - \to P Q

is parallel to the plane

x - 4 y + 3 z = 1

P (3, 2, 6)

be point in space and

Q

be appoint on the line

\to r = (^i -^j + 2^k) + μ (- 3^i +^j + 5^k)

. Then the value of

μ

for which the vector

\to P Q

is parallel to the plane

x - 4 y + 3 z = 1

P (3, 2, 6)

be a point in space and

Q

be a point on the line

\to r = (^i -^j + 2^k) + μ (- 3^i +^j + 5^k)

, then the value of

μ

for which the vector

\to P Q

is parallel to the plane

x - 4 y + 3 z = 1

Q. Let A be a point on the line

\to r = (1 - 3 μ)^i + (μ - 1)^j + (2 + 5 μ)^k

B (3, 2, 6)

be a point in the space. Then the value of

μ

for which the vector

¯ ¯¯¯¯¯¯ ¯ A B

is parallel to the plane

x - 4 y + 3 z = 1

P (3, 2, 6)

be a point in space and

Q

be a point on the line

\to r = (\to i - \to j + 2 \to k) + μ (- 3 \to i + \to j + 5 \to k)

Then the value of

μ

for which the vector

P Q

x - 4 y + 3 z = 1

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