Vector Algebra Test

Result

Vector Algebra Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

If [a*b b*c c*a] = k[a b c]² then the value of k is

A
-1

B
1

C
2

D
-2
Question 2
1 / -0

The volume of tetrahedron whose three coterminous edges in the right-angled system are a, b, c is

A
[a, b, c]/2

B
[a, b, c]/3

C
[a, b, c]/4

D
[a, b, c]/6
Question 3
1 / -0

The vector a lies in the plane of vectors b and c then which of the foloowing is true

A
a . (b * c) = 0

B
a . b * c = 1

C
a . b * c = -1

D
a . b * c = 3
Question 4
1 / -0

For any three vectors a, b, c, the value of (a - b) .(b - c) * (c - a) is

A
0

B
1

C
[a b c]

D
2[a b c
Question 5
1 / -0

For three vectors u, v, w, which of the following expression is not equal to any of the remaining three

A
u . (v * w)

B
(v * w) . u

C
v . (u * w)

D
(u * v) . w
Question 6
1 / -0

The vector i + xj + 3k is rotated through an angle θ and doubled in magnitude, then it becomes 4i + (4x - 2)j + 2k. The value of x is

A
-2/3

B
1/3

C
2/3

D
1/2
Question 7
1 / -0

The magnitude of a vector can never be

A
negative

B
zero

C
positive

D
none of these
Question 8
1 / -0

If |a| = 3, |b| = 4 and |a + b| = 5, then |a - b| =

A
6

B
5

C
4

D
3
Question 9
1 / -0

Which of the following is a vector quantity?

A
mass

B
speed

C
weight

D
distance

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Re-Attempt Weekly Quiz Competition

Vector Algebra Test - 2

Result

Vector Algebra Test - 2

Score

-

Rank

-

SHARING IS CARING

Question 1

-1

1

2

-2

Question 2

[a, b, c]/2

[a, b, c]/3

[a, b, c]/4

[a, b, c]/6

Question 3

a . (b * c) = 0

a . b * c = 1

a . b * c = -1

a . b * c = 3

Question 4

0

1

[a b c]

2[a b c

Question 5

u . (v * w)

(v * w) . u

v . (u * w)

(u * v) . w

Question 6

-2/3

1/3

2/3

1/2

Question 7

negative

zero

positive

none of these

Question 8

6

5

4

3

Question 9

mass

speed

weight

distance

User

Question Analysis

My Perfomance

Score

-

Rank

-

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