If A B And C Are Different Real Numbers And Aibjck Bicjak And Ciajbk Are Position Vectors
1) centroid of Δ ABC is a +b+c/3 (vector i + j + k) 2) (i + j + k... View Article
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The Points A B And C With Position Vectors A 3i 4j 4k Vector 2i J K And Vector C I 3j 5k Form The Vertices Of A
1) Right angled triangle 2) Isosceles triangle 3) Equilateral triangle 4) None of the above Answer: (1) Right triangle Solution:... View Article
If The Points With Position Vectors 60i3j 40i8j And Ai52j Are Collinear Then A Is Equal To
1) –40 2) –20 3) 20 4) 40 Answer: (1) -40 Solution: Let, X, Y and Z denotes the position... View Article
If Pij Q4kj And Rik Then The Unit Vector In The Direction Of 3pq2r Is
1) ⅓ (i+2j+2k) 2) ⅓(i-2j-2k) 3) ⅓(i-2j+2k) 4) (i+2j+2k) Answer: (1) ⅓ (i+2j+2k) Solution: 3p+q−2r =3(i+j)+(4k−j)−2(i+k) = i+2j+2k
If A B And C Are The Vertices Of A Triangle Whose Position Vectors Are A B And C Then Ga Gb Gc Is
1) 0 2) a + b + c 3) (a+b+c)/3 4) (a-b-c)/3 Answer: (1) 0 Solution: Given, A, B, C... View Article
If A And B Are Unit Vectors A B 1 Then A B Is Equal To
1) √2 2) 1 3) √5 4) √3 Answer: (4) √3 Solution: |a+b|=1 Squaring both sides, we get; |a+b|2 =... View Article
The Unit Vector In Zox Plane And Making Angle 45 And 60 Respectively With A2i2jk And B0ijk Is
1) (-1/√2)i+(1/√2)k 2) (1/√2)i-(1/√2)k 3) (1/3√2)i+(4/3√2)j+(1/3√2)k 4) None of these Answer: (2) (1/√2)i-(1/√2)k Solution: Say, c = xi+yk |c| =... View Article
The Position Vectors Of P And Q Are Respectively A And B If R Is Point On Pq Such That Pr 5pq
1) 5b – 4a 2) 5b + 4a 3) 4b – 5a 4) 4b + 5a Answer: (1) 5b-4a Solution:... View Article
The Non Zero Vectors A B And C Are Related By A 8 B And C 7b Then The Angle Between A And C Is
1) π 2) 0 3) π/4 4) π/2 Answer: (1) π Solution: Given, a = 8b and c=-7b Suppose, vector... View Article
Let Two Noncollinear Unit Vectors A And B Form An Acute Angle A Point P Moves
Answer: (1) \(\begin{array}{l}\hat{u}=\frac{\hat{a}+\hat{b}}{|\hat{a}+\hat{b}|}~ and ~M=(1+\hat{a} \cdot \hat{b})^{1 / 2}\end{array} \) Solution: Given, vector OP = âcos t + b sin... View Article
The Vectors Aijmk B Ijm1k And Cijmk Are Coplanar If M Is Equal To
1) 1 2) 4 3) 3 4) no value of m for which vectors are coplanar Answer: (4) no value... View Article
A B C D E And F In That Order Are The Vertices Of A Regular Hexagon With Centre Origin
1) 7i+2j-2k 2) -7i-2j+2k 3) 3i-j-k 4) -4i-3j+2k Answer: (1) 7i+2j-2k Solution: Since ABCDEF are the vertices of a regular... View Article
Is Dimethyl Ether Toxic
Dimethyl ether is highly volatile chemical which is toxic when inhaled. Vapours of dimethyl ether can cause irritation in eyes,... View Article
Does Zinc Rust In Water
Zinc offers resistance against rusting and does not rust easily in water. To know about rust in a detailed and... View Article
Is The Earths Core Magnetic
Yes, the earth’s core is magnetic. Earth’s magnetism is generated by convection currents of molten iron and nickel in the... View Article
Why Acetic Anhydride Is Banned
Acetic anhydride is banned because it is highly corrosive chemical which is extremely dangerou when in contact. It was used... View Article
Is Gravity A Restoring Force
Yes, gravity is a restoring force. To know about simple harmonic motion in a detailed and interesting way, subscribe BYJU’S!
Is Mgo Covalent Or Ionic
Ionic bond is seen in magnesium oxide (MGO). To know about ionic bond in a detailed and interesting way, subscribe... View Article
Is Na Reduced Or Oxidized
Since sodium looses electrons, it is oxidized. To know about oxidation number in a detailed and interesting way, subscribe BYJU’S!
Is Germanium Radioactive
Germanium is slightly radioactive. Germanium 70, Germanium 72, Germanium 73, Germanium 74 and Germanium 76 are the most common isotopes.... View Article
