Vector Algebra Test

Result

Vector Algebra Test - 7

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
3

B
9

C
20

D
None of these

Solution
Question 2
4 / -1

If x + y + z = 0, |x| = |y| = |z|= 2 and θ is angle between y and z, then the value of cosec² θ is

A
4/3

B
5/3

C
1/3

D
1
Question 3
4 / -1

A
4√6 units

B
1/2 (√21) sq units

C
√6/2 sq units

D
√6 units
Question 4
4 / -1

The magnitude of cross product of two vectors is √3 times the dot product. The angle between the vector is

A
π/6

B
π/3

C
π/2

D
π/4
Question 5
4 / -1

A
√57

B
√39

C
12

D
17
Question 6
4 / -1

A
3 sq units

B
4 sq units

C
16 sq units

D
9 sq units
Question 7
4 / -1

Given that, |a|= 3, |b|= 4, |a ×b| = 10, then |a . b|² is equal to

A
88

B
44

C
22

D
None of these
Question 8
4 / -1

Area of diagonals is, ..., where diagonals are

A
√21.5

B
√31.5

C
√28.5

D
√38.5
Question 9
4 / -1

A
a = 3, b = 1

B
a = 9, b = 1

C
a = 3, b = 3

D
a = 9, b = 3
Question 10
4 / -1

If |a × b| = 4 and |a ∙ b|= 2, then |a|² |b|² is equal to

A
6

B
2

C
20

D
8