Q12 of 52 Page 1

If the sum of two-unit vectors is a unit vector, prove that the magnitude of their differences is .

Or


If , and , Find .


Let the vectors be and . Given that and

Since ,




12 = 12 + 12 + 2(1)(1) cos θ

⇒1+1+2cosθ =1

or 2cosθ=-1







=√3


OR


If , and , then we define as



Given that , and



=2(-4-1)-3(2+3) +1(1-6)


=-30

More from this chapter

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10

Form the differential equation representing the family of curves y = e2x(a + bx) , where ‘a’ and ‘b’ are arbitrary constants.

 11

A die is thrown 6 times. If “getting an odd number” is considered success, what is the probability of (i) 5 successes? (ii) atmost 5 successes?

Or


The random variable X has a probability distribution P(X) of the following form, where ‘k’ is some number.



Determine the value of ‘k’.


 13

Using properties of determinant, prove the following:

.


 14

Solve: