Three Vectors 7i11jk 5i3j2k And 12i8jk Forms
1) an equilateral triangle 2) an isosceles triangle 3) a right angled triangle 4) collinear Answer: (3) a right angled... View Article
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If The Volume Of The Parallelepiped With A X B B X C C X A As Coterminous Edges Is 8 Cubic Units
a) 8 cubic units b) 512 cubic units c) 64 cubic units d) 24 cubic units Answer: (c) 64 cubic... View Article
If Ai 4 Then A J X2j 3k Is Equal To
1) 12 2) 2 3) 0 4) –12 Answer: (4) -12 Solution: (a.j)×(2j−3k) =a.(j×(2j−3k))=a.(−3(j×k)) =−3(a.i) (∵j×k=i) Given, a.i = 4... View Article
The Vector A I 2j K Lies In The Plane Of The Vectors B Ij And C Jk And Bisects The Angle
1) α = 1, β = 1 2) α = 2, β = 2 3) α = 1, β =... View Article
The edges of a parallelopiped are of unit length and are parallel to non – coplanar unit vectors a, b, c such that a.b = b.c = c.a = ½. Then, the volume of the parallelopiped is? (1) 1/√2 cu unit (2) 1/2√2 cu unit (3) √3/2 cu unit (4) 1/√3 cu unit
Answer: (1) 1/√2 cu unit In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms. Any of the... View Article
The Volume Of The Tetrahedron Having The Edges I2j Kijki Jk As Coterminous Is 2 3
1) 1 2) 2 3) 3 4) 4 Answer: (1) 1 Solution: Given, i+2j−k,i+j+k,i−j+λk are the edges of tetrahedron and... View Article
If A And B Are Two Non Zero Non Collinear Vectors Then 2a B Ii 2a B Jj 2a B Kk A B A Is Equal To
1) 2 (a × b) 2) a × b 3) a + b 4) None of these Answer: (2) a... View Article
If The Volume Of The Parallelopiped With A B And C As Coteminous Edges Is 40 Cu Units Then The Volume
1) 80 2) 120 3) 160 4) 40 Answer: (1) 80 Solution: As per the given condition, Volume of parallelopiped... View Article
Volume Of The Parallelopiped Having Vertices At O 0 0 0 A 2 2 1 B 5 4 4
1) 5 cu units 2) 10 cu units 3) 15 cu units 4) 20 cu units Answer: (2) 10 cu.... View Article
If U V W Are Non Coplanar Vectors And P Q Are Real Numbers Then The Equality 3 U P V P W
1) exactly two values of (p, q) 2) more than two but not all values of (p, q) 3) all... View Article
If A B C And D Are The Unit Vectors Such That A X B C X D 1 And Ac 1 2 Then
1) a, b, c are non- coplanar 2) a, b, d are non- coplanar 3) b, d are non -parallel... View Article
For The Non Zero Vectors A B And C The Relation A B C 0 Is True If
1) b ⊥ c 2) a ⊥ b 3) a || c 4) a ⊥ c Answer: (3) a ||... View Article
If A B And C Are Noncoplanar Then The Value Of Abxc3bcxa Bcxa2caxb Is
1) – (1/2) 2) – (1/3) 3) – (1/6) 4) ⅙ Answer:(3) -1/6 Solution: \(\begin{array}{l}\frac{1}{3}\left(\frac{\vec{a} \cdot(\vec{b} \times \vec{c})}{\vec{a} \cdot(\vec{b} \times... View Article
If A 1 10 3ik And B172i3j6k Then The Value Of 2a B A X B A A2b Is
1) –3 2) 5 3) 3 4) –5 Answer: (4) -5 Solution: Given, a = 1/√10(3i+k) and b=1/7(2i+3j-6k) So, (2a... View Article
Is Acetone A Hydrocarbon
Yes, acetone is a hydrocarbon. Acetone belongs to the ketone group. Ketone groups are the organic compounds in which the... View Article
Do Alkali Metals Conduct Electricity
Alkali metals are good conductors of heat and electricity. To know about alkaline earth metals, visit BYJU’S – The Learning... View Article
Is Hcl A Buffer
Hydrochloric acid (HCl) is not a buffer. To know about properties of HCl, visit BYJU’S – The Learning App!!
Is Ammonia A Strong Or Weak Ligand
Ammonia is a weak field ligand. To know about properties of ammonia, visit BYJU’S – The Learning App!!
Is Pyridine A Tertiary Amine
Yes, pyridine is a tertiary amine. To know about amines, visit BYJU’S – The Learning App!!
Is H2s A Weak Dibasic Acid
Yes, hydrogen sulphide (H2S) is a weak dibasic acid. To know about various chemicals, visit BYJU’S – The Learning App!!
