Class 12 Vector Algebra · Assertion Reason1 Marksdot_product_angle

Class 12 Maths · Vector Algebra · Assertion Reason #33

Assertion (A): If |a × b| = 1 and |a · b| = √3, the angle between a and b must be π/6. Reason (R): For nonzero vectors, |a × b| = |a||b|sin θ and |a · b| = |a||b||cos θ|.

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true but R is false.
(D) A is false but R is true.

✅ Step-by-Step Solution

Final Answer: Option (D): A is false but R is true.

The data give |tan θ| = 1/√3, so θ may be π/6 or 5π/6. Both products in R are correct with the absolute cosine; A is false.

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Class 12 Maths · Vector Algebra · Assertion Reason #33

✅ Step-by-Step Solution

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