SATHEE: Vectors 3 Question 10

Vectors 3 Question 10

10. For three vectors $\vec{u}, \vec{v}, \vec{w}$ which of the following expressions is not equal to any of the remaining three?

(1998, 2M)

(a) $\vec{u} \cdot (\vec{v} \times \vec{w})$

(b) $(\vec{v} \times \vec{w}) \cdot \vec{u}$

(d) $(\vec{u} \times \vec{v}) \cdot \vec{w}$

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Answer:

Correct Answer: 10. (c)

Solution:

$[\vec{u} \vec{v} \vec{w}] = | \vec{v} \vec{w} \vec{u} | = [\vec{w} \vec{u} \vec{v}] = - [\vec{v} \vec{u} \vec{w}]$

Therefore, (c) is the answer.

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Vectors 3 Question 10

10. For three vectors u→,v→,w→ which of the following expressions is not equal to any of the remaining three?

Answer:

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10. For three vectors $\vec{u}, \vec{v}, \vec{w}$ which of the following expressions is not equal to any of the remaining three?