ECAT Mathematics Chapter 23 Pre Engineering Online Test With Answers

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ECAT Mathematics Chapter 23 Pre Engineering Online Test

Sr. # Questions Answers Choice
1 If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a = 4 1/2 3 4/3
2 The angle between the vectors u =2i - i + k and v = -i + i is: 3π/2 2π/3 5π/6 π/3
3 The angle between the vectors u = [-3 , 5] and v = [6 , -2] is: π/2 -3π/2 π None of these
4 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are: Orthogonal Collinear Perpendicular None of these
5 If the angle between two vectors u and v is 0 orπ, then the vectors u and v are: Orthogonal Collinear Perpendicular None of these
6 If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p= 1 2 -1 -3
7 The modulus of a vector i-i+ k is: √3 1 √2
8 If u =[3,-4],then modulus of uis: 5 5i -5 √5
9 If aand bare two vectors then a+b = b + a b - a ab a^ b
10 If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are: Parallel to each other Perpendicular to each other Inclined at 60<sup>o</sup> neither parallel nor perpendicular
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