A- Vector perpendicular to both -k- and 2-3k- is 2-k- R- Every vector perpendicular to plane containing a-b- is equal to a-b-

DIRECTIONS (Qs. 52 AND 53): The following item consist of two statements: one labelled as the Assertion a) and the other as Reason (R). You are to examine these two statements carefully and select the answers to these items using the codes given below:

a) Both A and R are individually true but R is the correct explanation of A

b) Both A and R are individually true but R is not the correct explanation of A

c) A is true but R is false

d) Both A and R are false

53. Assertion a): Saluva Narasimha put an end to the old dynasty and assumed the royal title.

Reason

(R): He wanted to save the kingdom from further degeneration and disintegration. [2003]

Assertion [A]: Greenhouse effect is due to a layer of CO₂ in the atmosphere.

Reason [R]: The glass panels of a greenhouse allow sunlight to pass through but prevent heat from being re-radiated into outer space.

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A: Vector perpendicular to both ^i+^j+^k and 2^i+^j+3^k is 2^i−^j−^kR: Every vector perpendicular to plane containing →a,→b is equal to →a×→b

The correct option is C A is true but R is false(A):→a(1,1,1),→b=(2,1,3)→a×→b=∣∣ ∣ ∣∣^i^j^k111213∣∣ ∣ ∣∣=2^i−^j−^k(R)→a. →b shows dot product which is scalar quantity →a×→b will be ⊥ to the plane containing →a,→b

$A$ : Vector perpendicular to both $^i +^j +^k$ and $2^i +^j + 3^k$ is $2^i -^j -^k$
$R$ : Every vector perpendicular to plane containing $\to a, \to b$ is equal to $\to a \times \to b$