JEE Main

AI Gen: Vectors question bank (Mathematics)

Practice 18 free JEE Main Mathematics - AI Gen: Vectors questions with answers and step-by-step solutions.

Q1.

If vectors a, b, and c are unit vectors such that a + b + c = 0, then the value of a.b + b.c + c.a is:

Topic: Vectors | Source: AI Generated (JEE Main)

(A)
3/2
(B)
3/2
(C)
0
(D)
1
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Q2.

Let a = i + j + k, b = i - j + k and c = i + 2j - k. If a vector r satisfies r x b = c x b and r . a = 0, then r.c is equal to:

Topic: Vectors | Source: AI Generated (JEE Main)

(A)
8/3
(B)
3/8
(C)
0
(D)
8/3
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