AIEEE 2002 | Vector Algebra Question 281 | Mathematics

$$\overrightarrow a = 3\widehat i - 5\widehat j$$ and $$\overrightarrow b = 6\widehat i + 3\widehat j$$ are two vectors and $$\overrightarrow c $$ is a vector such that $$\overrightarrow c = \overrightarrow a \times \overrightarrow b $$ then $$\left| {\overrightarrow a } \right|:\left| {\overrightarrow b } \right|:\left| {\overrightarrow c } \right|$$ =

$$\sqrt {34} :\sqrt {45} :\sqrt {39} $$

$$\sqrt {34} :\sqrt {45} :39$$

$$34:39:45$$

$$\,39:35:34$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

If $$\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right| = 4,\left| {\overrightarrow c } \right| = 3$$ thus what will be the value of $$\left| {\overrightarrow a .\overrightarrow b + \overrightarrow b .\overrightarrow c + \overrightarrow c .\overrightarrow a } \right|,$$ given that $$\overrightarrow a + \overrightarrow b + \overrightarrow c = 0$$ :

$$25$$

$$50$$

$$-25$$

$$-50$$

Questions from Vector Algebra

MCQ (Single Correct Answer) · No. in brackets = question count