Vector Algebra – Exercise – 1

Vector Algebra » Exercise – 1

1. If , then equals :

(a) 0
(b) 1
(c) 2a.b
(d) none of these

2. Let  and be two unit vectors such that  +  is also a unit vector. Then the angle between  and  is :

(a) 30⁰
(b) 60⁰
(c) 90⁰
(d) 120⁰

3. If  are non-coplanar vectors then  is equal to :

(a) 0
(b) 1
(c) 3
(d) None of there

4. The points with position vector 60i + 3j, 40i – 8j and ai –52j are collinear if :

(a) a = -40
(b) a = 40
(c) a = 20
(d) none of these

5. The value of k for which the points A(1, 0, 3) , B(-1, 3,4) ,C(1, 2, 1) and D(k, 2, 5) are coplanar is :

(a) 1
(b) 2
(c) 0
(d) -1

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