Vector Algebra Test

Result

Vector Algebra Test - 15

Score
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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
Question 2
4 / -1

A
7,√69

B
6, √59

C
5, √65

D
5, √55
Question 3
4 / -1

The value of a, for which the points A, B and C with position vectors

A
–2 and – 1

B
–2 and 1

C
2 and –1

D
2 and 1
Question 4
4 / -1

A
√13 units

B
2√5 units

C
5 units

D
10 units
Question 5
4 / -1

A
trapezium

B
rectangle

C
parallelogram

D
None of these
Question 6
4 / -1

The position vector of mid - point lying on the line joining the points whose positions vectors are

A

B

C

D
0

Solution
Question 7
4 / -1

A

B

C

D
Question 8
4 / -1

I . Two non - zero, non - collinear vectors are linearly independent .
II. Any three coplanar vectors are linearly dependent.
Which of the above statements is/ are correct ?

A
Only I

B
Only II

C
Both I and II

D
Neither I nor II
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

The length of longer diagonal of the parallelogram constructed on 5a + 2b and a - 3b, if it is given that |a| = 2√2, |b| = 3 and the angle between a and b is π/4 is

A
15

B
√113

C
√593

D
√369

Solution