1
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\overrightarrow a = 3\widehat i - 5\widehat j$$ 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
$$\,39:35:34$$
2
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
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
$$ - z\widehat i + x\widehat k$$
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The $$d.r.$$ of normal to the plane through $$(1, 0, 0), (0, 1, 0)$$ which makes an angle $$\pi /4$$ with plane $$x+y=3$$ are :
A
$$1,\sqrt 2 ,1$$
B
$$1,1,\sqrt 2 $$
C
$$1, 1, 2$$
D
$$\sqrt 2 ,1,1$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average marks of the girls?
A
73
B
65
C
68
D
74
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