Question 70: Motion in 2D & Vectors

Question

What will be the projection of vector $$\overrightarrow A  = \widehat i + \widehat j + \widehat k$$ on vector $$\overrightarrow B  = \widehat i + \widehat j$$ ?

Accepted Answer

Projection = $${{\overrightarrow A .\overrightarrow B } \over {\left| {\overrightarrow B } ight|}}(\widehat B)$$
$$ = {{(\widehat i + \widehat j + \widehat k).(\widehat i + \widehat j)} \over {\sqrt 2 }}{{(\widehat i + \widehat j)} \over {\sqrt 2 }}$$
$$ = {2 \over {\sqrt 2 }} $$$$ 	imes $$$$ {{(\widehat i + \widehat j)} \over {\sqrt 2 }}$$
$$ = (\widehat i + \widehat j)$$

Answer

$$\sqrt 2 (\widehat i + \widehat j + \widehat k)$$

Answer

$$(\widehat i + \widehat j)$$

Answer

$$\sqrt 2 (\widehat i + \widehat j)$$

Answer

$$2(\widehat i + \widehat j + \widehat k)$$

Motion in 2D & Vectors

What will be the projection of vector $\overrightarrow A = \widehat i + \widehat j + \widehat k on vector \overrightarrow B = \widehat i + \widehat j$ ?

Choose the correct answer: