IIT JEE 1982 Maths - MCQ Question 6

Geometry Level 3

For non-zero vectors a ⃗ , b ⃗ , c ⃗ , ∣ ( a ⃗ × b ⃗ ) ⋅ c ⃗ ∣ = ∣ a ⃗ ∣ ∣ b ⃗ ∣ ∣ c ⃗ ∣ \vec{a}, \vec{b}, \vec{c}, |(\vec{a} \times\vec{b})\cdot \vec{c}| = |\vec{a}||\vec{b}||\vec{c}| holds if and only if _________ . \text{\_\_\_\_\_\_\_\_\_} .

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b ⃗ . c ⃗ = c ⃗ . a ⃗ = 0 \vec{b}.\vec{c}=\vec{c}.\vec{a}=0 a ⃗ . b ⃗ = b ⃗ . c ⃗ = 0 \vec{a}.\vec{b}=\vec{b}.\vec{c}=0 a ⃗ . b ⃗ = b ⃗ . c ⃗ = c ⃗ . a ⃗ = 0 \vec{a}.\vec{b}=\vec{b}.\vec{c}=\vec{c}.\vec{a}=0 c ⃗ . a ⃗ = a ⃗ . b ⃗ = 0 \vec{c}.\vec{a}=\vec{a}.\vec{b}=0

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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