Basic Concepts Of Vector: Quiz! Test

A vector has both magnitude and direction. Magnitude refers to the length or size of the vector, while direction refers to the orientation or angle at which the vector is pointing. Therefore, the statement that a vector has direction only is incorrect.

A vector has both direction and magnitude. Direction refers to the orientation or angle at which the vector is pointing, while magnitude refers to the size or length of the vector. In other words, a vector not only tells us which way something is going, but also how fast or how much of it is moving in that direction. Therefore, the correct answer is direction and magnitude.

The vector shown is (0, -7) because it has a magnitude of 7 in the negative y-direction and a magnitude of 0 in the x-direction.

The vector shown is ⎛ 5⎞ ⎝-2⎠.

The vector shown is (5,3).

The vector shown is in the fourth quadrant of a Cartesian coordinate system. It has a negative x-coordinate and a negative y-coordinate, which is represented by the answer ⎛-5⎞
⎝-5⎠.

The vector shown is a vertical vector pointing upwards with a magnitude of 5 units.

The vector shown is (2, 6).

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The vector shown is ⎛-1⎞
⎝ 6⎠.

The given vector is represented as ⎛ 4⎞ ⎝-5⎠. This means that the vector has a horizontal component of 4 and a vertical component of -5.

The vector shown is ⎛-2⎞ ⎝-5⎠.

The vector shown in the answer is ⎛ 3⎞ ⎝ 0⎠. This means that the vector has a horizontal component of 3 and a vertical component of 0. It is a horizontal vector pointing to the right.

The vector shown in the image appears to point left on the grid. In a standard Cartesian coordinate system, this would represent a negative movement along the x-axis and no movement along the y-axis. Therefore, the vector would be represented by:

-4,0

This indicates a movement of 4 units to the left (negative direction) on the x-axis and 0 units on the y-axis.