Description

This mock test of Test: Cross Product for JEE helps you for every JEE entrance exam.
This contains 5 Multiple Choice Questions for JEE Test: Cross Product (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Cross Product quiz give you a good mix of easy questions and tough questions. JEE
students definitely take this Test: Cross Product exercise for a better result in the exam. You can find other Test: Cross Product extra questions,
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QUESTION: 1

If | a | = 2, | b | = 5 and | a × b | = 8, thencan be equal to

Solution:

QUESTION: 2

If are unit vectors along X-axis, Y-axis and Z-axis respectively, then

Solution:

As we know that,

QUESTION: 3

The area of triangle whose adjacent sides are is :

Solution:

Area of triangle = ½(a * b)

a = (1, 0, -2) b = (2, 3, 1)

= i(0 + 6) + j(-4 - 1) + k(3 - 0)

= 6i - 5j + 3k

|a * b| = (36 + 25 + 9)^{½}

|a * b| = (70)^{½}

Area of triangle = ½(a * b)

= [(70)^{½}]/2

QUESTION: 4

The value of is:

Solution:

i.(j * k) + j.(k * i) + k(i * j)

= i.(i) + j.(j) + k.(k)

= 1 + 1 + 1

= 3

QUESTION: 5

The area of parallelogram whose sides areis:

Solution:

A = {(1, -3, 4)} B = {(3, 1, -2)}

A * B = {(i^(6-4) - j^(-2 -12) + k^ (1+9)}

= 2i^ + 14j^ + 10k^

Area = [(2)^{2} + (14)^{2} + (10)^{2}]^{½}

= (300)^{½}

= 10(3)^{½} sq unit

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