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If A Ijk B I3j5k And C7i9j11k Then The Area Of Parallelogram Having Diagonals Ab And Bc Is

1) 4√6 units 2) 1/2 (√21) sq units 3) √6/2 sq units 4) √6 units Answer: (1) 4√6 units Solution:... View Article

If A I2j2k B5 And The Angle Between A And B Is Pi 6 Then The Area Of The Triangle Formed

1) 15/4 2) 15/2 3) 15 4) 15√3/2 5) 15√3 Answer: (1) 15/4 Solution: Given, a = i+2j+2k, |b|=5 |a|... View Article

If Xyz0 Xyz2 Where Theta Is The Angle Between Y And Z Then The Value Of 2cosec2theta3cot2theta Is

1) 11/3 2) 8/3 3) 7/3 4) 1 Answer: (1) 11/3 Solution: Given X+Y+Z=0 ⇒Y+Z=−X ∣Y+Z∣=∣X∣ (|Y+Z|)2 = |X| |Y|2+|Z|2-2|Y||Z|cosθ... View Article

A Unit Vector In The Plane Of I2jk And Ij2k And Perpendicular To 2ijk Is

1) j-k 2) (i+j)/√2 3) (j+k)/√2 4) (j-k)/√2 5) 5(j-k) Answer: (4) (j-k)/√2 Solution: Let, a = i+j+2k b =... View Article

If Abc Are Three Vectors Such That A3b4c5 And Abc Are Perpendicular To Bccaab

1) 5√2 2) 50 3) 10√2 4) 10 Answer: (1) 5√2 Solution: ∵a⊥(b+c) ∴a.(b+c)=0⇒a.b+a.c=0 …(1) Similarly b⊥(c+a)⇒b.c+b.a=0 …(2) and c⊥(a+b)=0⇒c.a+c.b=0... View Article

The Angle Between The Vectors A I2j2k And Bi2j2k Is

1) sin-1 (1/9) 2) cos-1 (8/9) 3) sin-1 (8/9) 4) cos-1 (1/9) Answer: (4) cos-1 (1/9) Solution: Given, a =... View Article

If A B C Are Three Non Coplanar Vectors And P Q R Reciprocal Vectors Then La Mb Nc Lp Mq Nr Is Equal To

1) l + m + n 2) l3 + m3 + n3 3) l2 + m2 + n2 4) None... View Article

If A Vector Of Magnitude 50 Is Collinear With The Vector B 6i 8j152k And Makes An Acute Angle

1) a=4b 2) a=-4b 3) b=4a 4) None of the above Answer: (2) a=-4b Solution: a = kb a =... View Article

Let A B And C Be Three Non Zero Vectors That Are Pairwise Noncollinear If A 3b Is Collinear With C

1) 0 2) a 3) a+b 4) c Answer: (1) 0 Solution: Given, a+3b is collinear with c. a+3b=λc…………(i) And,... View Article

If A B And C Are Non Coplanar Vectors And If D Is Such That D 1x A B C And A 1y B C D

1) 3c 2) – a 3) 0 4) 2a Answer: (3) 0 Solution: d = 1/x (a + b +... View Article

If Lambda 3i2j6k Is A Unit Vector Then The Values Of Lambda Are

1) ± 1/7 2) ± 7 3) ± √43 4) ± 1/√43 5) ± 1/√7 Answer: (1) ± 1/7 Solution:... View Article

The Value Of 8c3 Is Equal To

1) 18 2) 56 3) 28 4) 65 Answer: (2) 56 Solution: 8C3 = [8!/(8-3)!3!] = 8!/[5!.3!] = (8.7.6)/(3.2.1) =... View Article

In How Many Ways Can 12 Balls Divided Between 2 Boys One Receiving 5 And Other 7 Balls

1) 1080 2) 1184 3) 1584 4) None of these Answer: (3) 1584 Solution: 12 balls can be divided between... View Article

The Number Of Ways In Which Thirty Five Apples Can Be Distributed Among 3 Boys

1) 1332 2) 666 3) 333 4) None of these Answer: (2) 666 Solution: n=35, r = 3 By positive... View Article

Total Number Of Ways Of Selecting Six Coins Out Of 20 One Rupee Coins 10 Fifty Paise Coins And 7 Twenty Five Paise Coins Is

1) 28 2) 56 3) 37C6 4) None of these Answer: (1) 28 Solution: As we know, by the fact... View Article

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