Question 195: Motion in 2D & Vectors

Question

If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j - 4\widehat i + \alpha \widehat k,$$ then the value of $$\alpha $$ is

Accepted Answer

For two vectors to be perpendicular to each
other
$${\overrightarrow A .\overrightarrow B  = 0}$$
$$\left( {2\widehat i + 3\widehat j + 8\widehat k} \right).\left( {4\widehat j - 4\widehat i + \alpha \widehat k} \right) = 0$$
Ã¢ÂÂ8 + 12 + 8$$\alpha $$ = 0
$$\alpha  =  - {4 \over 8} =  - {1 \over 2}$$

Answer

1/2

Answer

$$-$$ 1/2

Answer

1

Answer

$$-$$ 1.

Motion in 2D & Vectors

If a vector $2\widehat i + 3\widehat j + 8\widehat k is perpendicular to the vector 4\widehat j - 4\widehat i + \alpha \widehat k, then the value of \alpha $ is

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