The scalar product of i and k is:
Correct answer: A. Zero
- A. Zero
- B. 90°
- C. 1
- D. -1
Explanation
Explanation:Since i and k are mutually perpendicular, thus angle is 90°, cos90° = 0, therefore scalar product is zero. This option is not correct because 90 degrees is the angle between two vectors in a plane, not between i and k. This option is also incorrect because scalar product of two unit vectors cannot be greater than 1.This option is also incorrect because scalar product of two unit vectors cannot be less than -1.
This question appeared on the UHS MDCAT 2009 paper, which you can sit online with every answer explained.
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About Scalar Product
The scalar product of two vectors is A dot B equals AB cos theta, producing a scalar determined by their magnitudes and included angle. Applications include work done and projection of one vector on another, with perpendicular vectors giving zero and the scalar product distinguished from the vector product.
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