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Equation of a Plane Passing through a Point and Parallel to the Two Given Vectors

5. Given vect...

Question

5. Given vector A = 2i + 3j and vector B = i + j , find the component of vector A along B.

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Solution

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A = 2 ˆ i + 3 ˆ j

B = ˆ i + ˆ j

\to a = 2 ˆ i + 3 ˆ j

ˆ i + ˆ j

\to A

\to B

\to A = 2 \to i + 3 \to j

\to B = \to i + \to j

\to A

\to B

¯ ¯ ¯ a = ¯ i - 3 ¯ j + 2 ¯ ¯ ¯ k, ¯ ¯ b = 2 ¯ i + ¯ j - ¯ ¯ ¯ k

¯ ¯ ¯ a \times ¯ ¯ b

5 ¯ i - ¯ ¯ ¯ k

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