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MDCAT
Physics
2010

Physics · Scalars and Vectors

Work through this past-paper style MCQ, then read the full explanation. Practice more physics questions on mMCQ with adaptive drills and topic analytics.

Question

If A = 2i+j+2k then its magnitude is:

Options
  • A

    9

  • B

    5

  • C

    3

  • D

    1

Explanation

To calculate the magnitude of a vector, we can use the formula:

|A| = √(Ax² + Ay² + Az²

Where 'A' is the vector and Ax, Ay, and Az are the components of the vector in the x, y, and z directions, respectively.

We have,

-A = 2i + j + 2k

Let's calculate the magnitude:

|-A| = √(2)² + (1)² + (2)²

= √ (4+1+4)

= √(9)

= 3

Therefore, the magnitude of the vector -A is 3.

To calculate the magnitude of a vector, we can use the formula:

|A| = √(Ax² + Ay² + Az²

Where 'A' is the vector and Ax, Ay, and Az are the components of the vector in the x, y, and z directions, respectively.

We have,

-A = 2i + j + 2k

Let's calculate the magnitude:

|-A| = √(2)² + (1)² + (2)²

= √ (4+1+4)

= √(9)

= 3

Therefore, the magnitude of the vector -A is 3.

To calculate the magnitude of a vector, we can use the formula:

|A| = √(Ax² + Ay² + Az²

Where 'A' is the vector and Ax, Ay, and Az are the components of the vector in the x, y, and z directions, respectively.

We have,

-A = 2i + j + 2k

Let's calculate the magnitude:

|-A| = √(2)² + (1)² + (2)²

= √ (4+1+4)

= √(9)

= 3

Therefore, the magnitude of the vector -A is 3.

To calculate the magnitude of a vector, we can use the formula:

|A| = √(Ax² + Ay² + Az²

Where 'A' is the vector and Ax, Ay, and Az are the components of the vector in the x, y, and z directions, respectively.

We have,

-A = 2i + j + 2k

Let's calculate the magnitude:

|-A| = √(2)² + (1)² + (2)²

= √ (4+1+4)

= √(9)

= 3

Therefore, the magnitude of the vector -A is 3.

To calculate the magnitude of a vector, we can use the formula:

|A| = √(Ax² + Ay² + Az²

Where 'A' is the vector and Ax, Ay, and Az are the components of the vector in the x, y, and z directions, respectively.

We have,

-A = 2i + j + 2k

Let's calculate the magnitude:

|-A| = √(2)² + (1)² + (2)²

= √ (4+1+4)

= √(9)

= 3

Therefore, the magnitude ofp the vector -A is 3.

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Tagged under Physics · Scalars and Vectors · 2010