Question

The value of i cap x (j cap x k cap ) is
1) 0
(2) 1
(3) 2
(4) Cannot be found


( vectors: x means cross product, cap means unit vector)​

Answer 1

Answer:

(4) cannot be found..

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Answer 2

Given:

î×(ĵ×k̂)

To Find:

Value of the above vector-product expression.

Solution:

We know that î,ĵ & k̂ are rectangular unit vectors in the direction of the x-axis, y-axis, and z-axis respectively i.e. their magnitude is 1 and direction is along their respective axes.

We will first find out the vector product of ĵ & k̂.

Since the magnitude of each vector is 1 and has an angle of 90° between each of them, the cross product is going to have a magnitude of 1 and direction along the x-axis (using the Right-hand thumb rule)

So, ĵ×k̂=î

 ⇒ î×(ĵ×k̂)=î×î

Now, the angle between î and î is 0°

So, î×î=0 vector.

Hence the value of the expression î×(ĵ×k̂)=0 vector.