Vector Algebra Test

Result

Vector Algebra Test - 7

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
2 / -0.83

Points L, M and N lie on the sides AB, BC and CA of the triangle ABC such that ℓ(AL) : ℓ(LB) = ℓ(BM) :ℓ(MC) = ℓ(CN) : ℓ(NA) = m :n, then the areas of the triangles LMN and ABC are in the ratio

A

B

C

D
Question 2
2 / -0.83

is equal to

A

B

C

D
None of these

Solution

ANSWER :- c

Solution :- [a ×b b ×c c ×a]

= (a ×b) . [(b ×c) * (c ×a)]

= (a ×b) [(b ×c) . a(c) - (b ×c) . c]

= (a ×b) [(b ×c) . a(c) - 0]

= [(a ×b) . c] [(b ×c) . a]

= [a b c] [(b c a]

= - [a b c] [(a c b]

= [a b c] [(a b c ] =>[a b c]^2
Question 3
2 / -0.83

If the vectors (a ≠b ≠c ≠1) are coplanar, then the value of is equal to

A
1

B
0

C
–1

D
None of these
Question 4
2 / -0.83

The vectors are coinitial. The vector which is bisecting the angle between the vectors and is having the magnitude √6 is

A

B

C

D
none of these
Question 5
2 / -0.83

If A₁ , A₂ , A₃ , .........A_n are the vertics of a regular plane polygon with n sides and O is its centre then equals

A

B

C

D
None of these
Question 6
2 / -0.83

For any four points P,Q, R, S, is equal to 4 times the

area of the triangle

A
PQR

B
QRS

C
PRS

D
PQS
Question 7
2 / -0.83

If a line has a vector equation , then which of the following statements hold goods ?

A

B

C
the line is parallel to XY-plane

D
All are Correct
Question 8
2 / -0.83

The vector is

A
A unit vector

B

C

D
All are Correct
Question 9
2 / -0.83

The vector directed along the external bisector of the angle between the vectors and with

A

B

C

D
None of these
Question 10
2 / -0.83

Which of the following acts in accordance with right hand screw rule?

A
Polar vector

B
Axial vector

C
Displacement vector

D
Position vector