NDA (National Defense Academy) Mathematics: Questions 63 - 71 of 1300

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Question 63

Question MCQ▾

The values of x for which the angle between the vectors is acute, & the angle between the vector and the axis of ordinates is

Choices

Choice (4)Response

a.

All

b.

c.

All

d.

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Question 64

Question MCQ▾

The area of a parallelogram whose adjacent sides are given by the vectors is

Choices

Choice (4)Response

a.

b.

42

c.

d.

Edit

Question 65

Question MCQ▾

Given . If be a vector such that then is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 66

Question MCQ▾

If are linearly dependent vectors & then

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 67

Question MCQ▾

Let point P on the line segment is equidistant from , then is.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 68

Question MCQ▾

Let be three non-coplanar vectors and be the vectors defined by the relations . Then the value of is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

Question 69

Question MCQ▾

The projection of is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 70

Question MCQ▾

The point in plane which is equidistant from three points has the coordinates.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 71

Question MCQ▾

The volume of the tetrahedron whose vertices are the points with position vectors is 11 cubic units if the value of is

Choices

Choice (4)Response

a.

7

b.

1

c.

d.

Both a. and b. are correct

Edit