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The Earth and the Sun

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The component of vector A=2i+j in the direction of vector of i+j is

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The component of vector i+j in the direction of 3i+4j is

Q. Assertion :A component of vector

\to b = 4 ˆ i + 2 ˆ j + 3 ˆ k

in the direction perpendicular to the direction of vector

\to a = ˆ i + ˆ j + ˆ k

ˆ i - ˆ j

. Reason: A component of vector in the direction of

^a = ˆ i + ˆ k

2 ˆ i + 2 ˆ j + 2 ˆ k

.

A = 2 ˆ i + 3 ˆ j

B = ˆ i + ˆ j

. The component of vector A along vector B is

Q. The component of vector

\to a = 2 ˆ i + 3 ˆ j

along the vector

ˆ i + ˆ j

Q. iˆ and jˆ are unit vectors along x- and y- axis respectively. What is the magnitude and direction of the vectors iˆ + jˆ, and iˆ − j ˆ? What are the components of a vector A= 2 iˆ + 3j ˆalong the directions of iˆ + j ˆand iˆ − jˆ? [You may use graphical method]

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