Vector product Practice Questions - NDA Mathematics Question Bank

Question 1 of 10 Authentic UPSC NDA Question

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Question 2 of 10 Authentic UPSC NDA Question

The position vectors of the vertices A, B, C and D of a quadrilateral ABCD are given by

3î + 4ĵ − 2k̂,

4î − 4ĵ − 3k̂,

2î − 3ĵ + 2k̂

and

6î − 2ĵ + k̂

respectively. What is the angle between the diagonals AC and BD of the quadrilateral?

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Question 3 of 10 Authentic UPSC NDA Question

What is the area of the parallelogram whose sides are represented by the vectors

î + 2ĵ + 3k̂

and

2î + ĵ + 2k̂ ?

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Question 4 of 10 Authentic UPSC NDA Question

How many of the following can be a vector perpendicular to both the vectors

2î − ĵ + k̂

and

î + ĵ + 3k̂ ?

I. 4î − 5ĵ − 3k̂

II. −8î − 10ĵ + 6k̂

III. (1/50)(−4î − 5ĵ + 3k̂)

Select the correct answer.

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Question 5 of 10 Authentic UPSC NDA Question

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Question 6 of 10 Authentic UPSC NDA Question

Let a b, and (a× b) be unit vectors. What is (a.b) equal to?

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Question 7 of 10 Authentic UPSC NDA Question

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Question 8 of 10 Authentic UPSC NDA Question

The position vectors of three points A, B and C are a b, and c, respectively, such that What is AB: BC equal to?

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Question 9 of 10 Authentic UPSC NDA Question

Which of the statements given above is/are correct?

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Question 10 of 10 Authentic UPSC NDA Question

then what is a b. equal to?

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Vector product Questions