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Vector Algebra – 1 – 1

1. If 2016-08-04_3-16-29, then 2016-08-04_3-17-03 equals :

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

ANSWER

EXPLANATION

2. Let 2016-08-04_3-01-49 and 2016-08-04_3-02-54 be two unit vectors such that 2016-08-04_3-01-49 + 2016-08-04_3-02-54 is also a unit vector. Then the angle between 2016-08-04_3-01-49 and 2016-08-04_3-02-54 is :

(a) 300
(b) 600
(c) 900
(d) 1200

ANSWER

EXPLANATION

3. If 2016-08-04_3-07-10 are non-coplanar vectors then 2016-08-04_3-07-21 is equal to :

(a) 0
(b) 1
(c) 3
(d) None of there

ANSWER

EXPLANATION

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

ANSWER

EXPLANATION

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

ANSWER

EXPLANATION

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