The magnitude of a position vector in a XY plane is 4- Its slope is 1-3- then the position vector is-

If Sameer moves from point $A$ having position vector $3^i + 2^j + 5^k$ to point $B$ having position vector $6^i + 3^j + 7^k$ , what is his displacement vector?

Q. Find the image of a point having position vector:

3^i - 2^j +^k

in the Plane

\to r \cdot (3^i -^j + 4^k) = 2

Q. Let

P, Q, R

and

S

be the points on the plane with position vectors

- 2^i -^j, 4^i, 3^i + 3^j

and

- 3^i + 2^j

respectively. The quadrilateral

P Q R S

must be a

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The magnitude of a position vector in a XY plane is 4. Its slope is 1√3, then the position vector is:

The correct option is C 2√3^i+2^jAngle with X -axis = 300So, X component = 4cos300 and Y component = 4sin300.⇒ The position vector = 2√3^i+2^j

The magnitude of a position vector in a XY plane is $4$ . Its slope is $\frac{1}{\sqrt{3}}$ , then the position vector is:

The correct option is C $2 \sqrt{3}^i + 2^j$
Angle with $X$ -axis = $30^{0}$
So, $X$ component = $4 cos 30^{0}$ and $Y$ component = $4 sin 30^{0}$ .
$\Rightarrow$ The position vector = $2 \sqrt{3}^i + 2^j$