Vector Algebra Question 336

Question: If r be position vector of any point on a sphere and a, b are respectively position vectors of the extremities of a diameter, then

[MP PET 1994]

Options:

A) $ \mathbf{r},.,(\mathbf{a}-\mathbf{b})=0 $

B) $ \mathbf{r},.,(\mathbf{r}-\mathbf{a})=0 $

C) $ (\mathbf{r}+\mathbf{a}),.,(\mathbf{r}+\mathbf{b})=0 $

D) $ (\mathbf{r}-\mathbf{a}),.,(\mathbf{r}-\mathbf{b})=0 $

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Answer:

Correct Answer: D

Solution:

  • It is a fundamental property.