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... View Article
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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... 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... 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... 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... 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... 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... 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... View Article
If A And B Are Any Two Vectors Then 2a 3b 5a 7b A B Is Equal To
1) 0 2) 1 3) a × b 4) b × a Answer: (1) 0 Solution: Given, (2a + 3b)... View Article
The Value Of Axb 2 Ab2 2a2 B2 Is
1) a . b 2) 1 3) 0 4) ½ Answer: (4) ½ Solution: We can write; (a x b)2... View Article
A Unit Vector Perpendicular To Both The Vectors Ij And Jk Is
1) (-i-j+k)/√3 2) (i+j-k)/3 3) (i+j+k)/√3 4) (i-j+k)/√3 Answer: (4) (i-j+k)/√3 Solution: Given, unit vector, say c, perpendicular to both... View Article
If A 2 B3 And A B Are Mutually Perpendicular Then The Area Of The Triangle Whose Vertices
1) 5 2) 1 3) 6 4) 8 Answer: (3) 6 Solution: Suppose, A, B and C are the position... View Article
If B And C Are Any Two Noncollinear Unit Vectors And A Is Any Vector Then Abb Acc Ab Cb Cb C Is
1) 0 2) a 3) b 4) c Answer: (2) a Solution: Let b = i, c = j |b... View Article
If Vectora 2b 3c 0 Then Vectora X B B X C C X A Is Equal To
1) 6 (b × c) 2) 3 (b × c) 3) 2 (b × c) 4) 0 Answer: (1) 6... View Article
Let A 2ik Bijk And C4i3j7k If R Is A Vector Such That R X B C X B And Ra 0 Then R Is
1) -i-8j+2k 2) i-8j+2k 3) i+8j+2k 4) None of these Answer: (1) -i-8j+2k Solution: Let R=xi+yj+zk Since R.A=0 ⇒2x+z=0 ….(1)... View Article
If The Projection Of The Vector A On B Is A B And If 3b Ijk Then The Angle Between A And B Is
1) π/3 2) π/2 3) π/4 4) π/6 5) 0 Answer: (1) π/3 Solution: Given, projection of the vector a... View Article
Vectors A And B Are Inclined At An Angle Theta 120 If A 1 2 Then A 3b X 3a B2 Is Equal To
1) 190 2) 275 3) 300 4) 320 5) 192 Answer: (3)300 Solution: Given, θ = 120o If |a| =... View Article
If A 5 B 6 And A B 25 Then A X B Is Equal To
1) 25 2) 6√11 3) 11√5 4) 11√6 5) 5√11 Answer: (5) 5√11 Solution: Given, |a|= 5, |b| = 6... View Article
Which One Of The Following Vectors Is Of Magnitude 6 And Perpendicular Both A4ij3k And B2ij2k
1) 2i-jk2k 2) 2(2i-j+2k) 3) 3(2i-j-2j) 4) -2i+4j+4k Answer: (4) -2i+4j+4k Solution: Given, a=4i-j+3k and b=-2i+j-2k So, \(\begin{array}{l}a\times b=\left|\begin{array}{ccc} \hat{\mathrm{i}}... View Article
The Solution Set Of The Equation Sin Inversex 2 Tan Inverse X Is
1) {1, 2} 2) {-1, 2} 3) {-1, 1, 0} 4) {1, 1/2, 0} Answer: (3) {-1, 1, 0} Solution:... View Article
