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AI Gen: 3D Geometry and Vectors Advanced question bank (Mathematics)

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Q1.

If the straight lines x = y = z and x = y/2 = z/3 intersect at the origin, the acute angle between them is given by:

Topic: 3D Geometry and Vectors Advanced | Source: AI Generated (JEE Advanced)

(A)

arccos(sqrt(3)/2)

(B)

arccos(sqrt(6)/3)

(C)

arccos(1/sqrt(3))

(D)

arccos(2/sqrt(6))

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Q2.

Let vector a = i + j + k, vector b = i - j + 2k and vector c = x i + (x-2) j - k. If the vector c lies in the plane of a and b, then the value of x is:

Topic: 3D Geometry and Vectors Advanced | Source: AI Generated (JEE Advanced)

(A)

(B)

(C)

(D)

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