1
AIEEE 2002
+4
-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 $$\overrightarrow a + \overrightarrow b + \overrightarrow c = 0$$ :
A
$$25$$
B
$$50$$
C
$$-25$$
D
$$-50$$
2
AIEEE 2002
+4
-1
$$\overrightarrow a = 3\widehat i - 5\widehat j$$ 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 $$\left| {\overrightarrow a } \right|:\left| {\overrightarrow b } \right|:\left| {\overrightarrow c } \right|$$ =
A
$$\sqrt {34} :\sqrt {45} :\sqrt {39}$$
B
$$\sqrt {34} :\sqrt {45} :39$$
C
$$34:39:45$$
D
$$\,39:35:34$$
3
AIEEE 2002
+4
-1
If the vectors $$\overrightarrow c ,\overrightarrow a = x\widehat i + y\widehat j + z\widehat k$$ and $$\widehat b = \widehat j$$ are such that $$\overrightarrow a ,\overrightarrow c$$ and $$\overrightarrow b$$ form a right handed system then $${\overrightarrow c }$$ is :
A
$$z\widehat i - x\widehat k$$
B
$$\overrightarrow 0$$
C
$$y\widehat j$$
D
$$- z\widehat i + x\widehat k$$
EXAM MAP
Medical
NEET