A vector \overrightarrow{ {\v} in the first octant is inclined to the {\x} axis at 60^{\circ}, to the y-axis at 45^{\circ} and to the z-axis at an acute angle. If a plane passing through the points (\sqrt{2},-1,1) and ( {\a}, {\b}, {\c}), is normal to \overrightarrow{ {\v}, then [30-Jan-2023 Shift 2]

Correct Answer is : a+√2b+c=1

JEE Mains 30-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 68 of 90

Marks: +1, -0

A vector

→

in the first octant is inclined to the x axis at 60∘, to the y-axis at 45∘ and to the z-axis at an acute angle. If a plane passing through the points (√2,−1,1) and (a,b,c), is normal to

→

, then

[30-Jan-2023 Shift 2]

√2a+b+c=1
a+b+√2c=1
a+√2b+c=1
√2a−b+c=1

Validate

Go to Question:

Prev Question

Next Question