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Does A Tv Use Ac Or Dc

Television (TV) uses direct current (DC). To know about the difference between AC and DC in a detailed and interesting way, subscribe BYJU’S!... View Article

If The Volume Of The Parallelepiped Formed By Three Non Coplanar Vectors A B And C Is 4 Cu Units

1) 64 2) 16 3) 4 4) 8 Answer: (2) 16 Solution: Volume of a parallelepiped formed by three non-coplanar vectors a,b and c is 4 cu.units. [a... View Article

If U V And W Are The Three Non Coplanar Vectors Then U V W U V V W Is Equal To

1) u ∙ w × u 2) u ∙ v × w 3) 0 4) 3 u ∙ v × w Answer: (2) u ∙ v × w Solution: (u + v – w) ∙ [(u – v) × (v – w)] = (u + v – w) ∙ (u × v - u... View Article

If Xy And Z Are Nonzero Real Numbers And Axi2j Byj3k And Cxiyjzk Are Such That A X B Zi 3jk

1) 3 2) 10 3) 9 4) 6 Answer: (3) 9 Solution: a x b = = 6i - 3xj + xyk Given, a x b = zi - 3j+k So, zi - 3j+k = 6i - 3xj + xyk So, z... View Article

The Value Of A B B C C A Is

1) 0 2) 1 3) 2 [a b c] 4) 2 Answer: (1) 0 Solution: As we know, a−b+b−c+c−a=0, The vectors a−b,b−c and c−a are coplanar, Therefore, [a−b... View Article

If R Alphab C C A A B And A B C 2 Then Alpha Beta Gamma Is Equal To

1) r . [b × c + c × a + a × b] 2) 1/2 r . (a + b + c) 3) 2r . (a + b + c) 4) 4 Answer: 2) 1/2 r . (a + b + c) Solution:... View Article

If A B B C C A A B C2 Then Lambda Is Equal To

1) 0 2) 1 3) 2 4) 3 Answer: (2) 1 Solution: Taking LHS, [a×b b×c c×a] = (a×b).((b×c)×(c×a)) So, (a×b)×(c×d)=[abd]c−[abc]d Thus,... View Article

If The Vectors C A Xiyjzk And B J Are Such That A C And B Form A Right Handed System Then C Is

1) zi - xk 2) 0 3) yj 4) -zi + xk Answer: (1) zi - xk Solution: Given, c, a = xi+yj+zk and b = j are such that a, c and b form a right... View Article

If Vector A2 And Vector B5 And A B8 Then What Is Ab Equal To

1) 6 2) 2 3) 20 4) 8 Answer: (1) 6 Solution: Given, |A|=2 and |B|=5 |A×B|=8 We know that , |A×B|=|A||B|sinθ Therefore, 2×5×sinθ=8... View Article

If A2b3c0 Then A Bb Cc Aka B Where K Is Equal To

1) 0 2) 1 3) 2 4) 3 Answer: (3) 2 Solution: Given, a+2b+3c=0 We can write, a=−(2b+3c) or a×a=−(2(b×a)+3(c×a)) Since, a x a = 0... View Article

Ab X Ac 2i 4j 4k Then The Area Of Triangle Abc Is

1) 3 sq units 2) 4 sq units 3) 16 sq units 4) 9 sq units Answer: (1) 3 square units Solution: Given, AB x AC = 2i - 4j + 4k Area of... View Article

If The Vectors A B And C From The Sides Bc Ca And Ab Respectively Of A Abcs Then

1) a . b = b . c = c . b = 0 2) a × b = b × c = c × a 3) a . b = b . c = c . a = 0 4) a × a + a × c + c × a = 0 Answer: 2) a × b = b × c = c... View Article

A B2 A B2 Is Equal To

1) a2 b2 2) a2 + b2 3) 1 4) 2 a . b Answer: (1) a2 b2 Solution: (a × b)2 + (a ∙ b)2 Since we know, (a x b) = ab sin θ a.b = ab... View Article

The Magnitude Of Cross Product Of Two Vectors Is Root 3 Times The Dot Product The Angle

1) π/6 2) π/3 3) π/2 4) π/4 Answer: (2) π/3 Solution: As per the given question, if a and b are two vectors, then, |a x b| = √3|a.b|... View Article

If A 10 B 2 And A B 12 Then A Bis Equal To

1) 12 2) 14 3) 16 4) 18 Answer: (3) 16 Solution: Given, |a| = 10, |b|= 2 and a . b = 12 We know that, a.b = |a| |b| cos θ Cos θ =... View Article

Let Aa1ia2ja3k Bb1ib2jb3k And Cc1ic2jc3k Be Three Nonzero Vectors Such That C Is

Let a=a1i+a2j+a3k, b=b1i+b2j+b3k and c=c1i+c2j+c3k be three non-zero vectors such that c is a unit vector perpendicular to both a and b. If the... View Article

If A Ijk B I 3j 3k And C 7i9j11k 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: Solution: Given, a=i+j+k,b=i+3j+5k and c=7i+9j+11k Suppose, a... View Article

Find The Magnitude Of Projection Of Vector 2i3jk On A Vector Which Is Perpendicular To The Plane

1) √3/√2 2) √2/√3 3) 4/√3 4) 2√2/√3 Answer: (1) √3/√2 Solution: Suppose n is the normal vector perpendicular to the plane containing i+j+k... View Article

If U And V Are Unit Vectors And Theta Is The Acute Angle Between Then 2u X 3v Is A Unit Vector For

1) exactly two values of θ 2) more than two values of θ 3) no value of θ 4) exactly one value of θ Answer: (4) exactly one value of θ... View Article

If The Vectors Pq Qr St Tu And Up Represent The Sides Of A Regular Hexagon Then Statement I Statement Ii

1) Statement I is correct, Statement II is correct; Statement II is correct explanation for Statement I 2) Statement I is correct, Statement II... View Article

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