1
IIT-JEE 1981
Fill in the Blanks
+2
-0
Let $$\overrightarrow A ,\overrightarrow B ,\overrightarrow C$$ be vectors of length $$3, 4, 5$$ respectively. Let $$\overrightarrow A$$ be perpendicular to $$\overrightarrow B + \overrightarrow C ,\overrightarrow B$$ to $$\overrightarrow C + \overrightarrow A$$ to $$\overrightarrow A + \overrightarrow B .$$ Then the length of vector $$\overrightarrow A + \overrightarrow B + \overrightarrow C$$ is ..........
2
IIT-JEE 1981
True or False
+2
-0
Let $$\overrightarrow A ,\overrightarrow B$$ and $${\overrightarrow C }$$ be unit vectors suppose that $$\overrightarrow A .\overrightarrow B = \overrightarrow A .\overrightarrow C = 0,$$ and thatthe angle between $${\overrightarrow B }$$ and $${\overrightarrow C }$$ is $$\pi /6.$$ Then $$\overrightarrow A = \pm 2\left( {\overrightarrow B \times \overrightarrow C } \right).$$
A
TRUE
B
FALSE
3
IIT-JEE 1981
+2
-0.5
The scalar $$\overrightarrow A .\left( {\overrightarrow B + \overrightarrow C } \right) \times \left( {\overrightarrow A + \overrightarrow B + \overrightarrow C } \right)$$ equals :
A
$$0$$
B
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right] + \left[ {\overrightarrow B \,\overrightarrow C \,\overrightarrow A } \right]$$
C
$$\left[ {\overrightarrow A \,\overrightarrow B \,\overrightarrow C } \right]$$
D
None of these
4
IIT-JEE 1981
Subjective
+3
-0
A gas bubble, from an explosion under water, oscillates with a period T proportional to padbEc. Where 'P' is the static pressure, 'd' is the density of water and 'E' is the total energy of the explosion. Find the value of a, b and c.
EXAM MAP
Medical
NEET