PUCET (Punjab) Addition of Vectors — practice questions

Explore 2 free Addition of Vectors questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Addition of Vectors questions and exercises with answers

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$\overrightarrow{PQ} + \overrightarrow{QR}$ equals (triangle law of addition):Read the answer and worked solution →The triangle inequality for vectors states:Read the answer and worked solution →

Worked practice questions

$\overrightarrow{PQ} + \overrightarrow{QR}$ equals (triangle law of addition):

$\overrightarrow{PR}$
$\overrightarrow{RP}$
$\overrightarrow{0}$
$2\,\overrightarrow{PQ}$

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Correct answer: A. $\overrightarrow{PR}$

By the triangle law, head-to-tail addition: $\overrightarrow{PQ} + \overrightarrow{QR} = \overrightarrow{PR}$. This is just the geometric path from P to R.

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The triangle inequality for vectors states:

$|\vec a + \vec b| = |\vec a| + |\vec b|$
$|\vec a + \vec b| \le |\vec a| + |\vec b|$
$|\vec a + \vec b| \ge |\vec a| + |\vec b|$
$|\vec a + \vec b| = |\vec a| - |\vec b|$