1
IIT-JEE 1987
Fill in the Blanks
+2
-0
Let $$b = 4\widehat i + 3\widehat j$$ and $$\overrightarrow c $$ be two vectors perpendicular to each other in the $$xy$$-plane. All vectors in the same plane having projecttions $$1$$ and $$2$$ along $$\overrightarrow b $$ and $$\overrightarrow c, $$ respectively, are given by ...........
2
IIT-JEE 1987
MCQ (Single Correct Answer)
+2
-0.5
The number of vectors of unit length perpendicular to vectors $$\overrightarrow a = \left( {1,1,0} \right)$$ and $$\overrightarrow b = \left( {0,1,1} \right)$$ is
A
one
B
two
C
three
D
infinite
3
IIT-JEE 1987
Subjective
+2
-0
If $$A, B, C, D$$ are any four points in space, prove that -
$$\left| {\overrightarrow {AB} \times \overrightarrow {CD} + \overrightarrow {BC} \times \overrightarrow {AD} + \overrightarrow {CA} \times \overrightarrow {BD} } \right| = 4$$ (area of triangle $$ABC$$)
4
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that :
A
Its velocity is constant
B
its acceleration is constant
C
its kinetic energy is constant
D
it moves in a circular path
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