What vector must be added to the sum of two vectors `2hat(i)-hat(j)+3hat(k)and3hat(i)-2hat(j)-2hat(k).` So that the resultant is a unit vector alongZ-

Question

What vector must be added to the sum of two vectors `2hat(i)-hat(j)+3hat(k)and3hat(i)-2hat(j)-2hat(k).` So that the resultant is a unit vector alongZ-

What vector must be added to the sum of two vectors `2hat(i)-hat(j)+3hat(k)and3hat(i)-2hat(j)-2hat(k).` So that the resultant is a unit vector alongZ-axis?
A. `5hat(i)+hat(k)`
B. `-5hat(i)+3hat(j)`
C. `3hat(j)+5hat(k)`
D. `-3hat(j)+2hat(k)`

Monjur Alahi

8 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
(b) `A=2hat(i)-hat(j)+3hat(k)andB+3hat(i)-2hat(j)-2hat(k)`
Resultant, `R=hat(k)=A+B+C`
`hat(k)=(2hat(i)-hat(j)+3hat(k))+(3hat(i)-2hat(j)-2hat(k))=C`
`hat(k)+5hat(j)-3hat(j)+hat(k)+C`
`C+-5hat(i)+3hat(j)`

8 views Answered 2023-02-05 15:29