Vector Algebra-Scalar and Vector Triple Product [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 9 of 16

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Question 1

Appeared in Year: 2012

Question MCQ▾

If are vectors such that then a possible value of is [IIT]

Choices

Choice (4)Response

a.

3

b.

8

c.

4

d.

0

Edit

Question 2

Question MCQ▾

is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Question MCQ▾

If two out of the three vectors are unit vectors such that vectors then the length of the third vectors is

Choices

Choice (4)Response

a.

3

b.

1

c.

0

d.

2

Edit

Question 4

Appeared in Year: 1997

Question MCQ▾

Let . If is a vector such that and the angle between is . Then is equals to [IIT]

Choices

Choice (4)Response

a.

b.

2

c.

d.

3

Edit

Question 5

Question MCQ▾

If are linearly dependent vectors & then

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

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 7

Question MCQ▾

Let be three vectors having magnitudes respectively. If then the acute angle between is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 8

Question MCQ▾

The value of is

Choices

Choice (4)Response

a.

b.

0

c.

d.

None of the above

Edit

Question 9

Question MCQ▾

Let be three non-zero vectors such that is a unit vector to both the vectors . If the angle between is then

Choices

Choice (4)Response

a.

b.

0

c.

1

d.

Edit