If a = i + j + k,b = i + j,c = i and (a times | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) We are given the vectors $a = i + j + k$,$b = i + j$,and $c = i$.Using the vector triple product formula,$(a 	imes b) 	imes c = (a \cdot c)b - (

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) We are given the vectors $a = i + j + k$,$b = i + j$,and $c = i$.Using the vector triple product formula,$(a 	imes b) 	imes c = (a \cdot c)b - (b \cdot c)a$.First,calculate the dot products:$a \cdot c = (i + j + k) \cdot i = 1$$b \cdot c = (i + j) \cdot i = 1$Substituting these into the formula:$(a 	imes b) 	imes c = (1)b - (1)a = -a + b$.Comparing this with the given expression $\lambda a + \mu b$,we get $\lambda = -1$ and $\mu = 1$.Therefore,$\lambda + \mu = -1 + 1 = 0$.

If $a = i + j + k$,$b = i + j$,$c = i$ and $(a \times b) \times c = \lambda a + \mu b$,then $\lambda + \mu = $

Similar Questions

Two large holes are cut in a metal sheet. If this sheet is heated,what will happen to the distances $AB$ and $BC$ as shown in the figure?

Which of the following is a chlorinated hydrocarbon?

For the combination of logic gates shown in the figure,the equivalent logic gate is

In an $n$-type semiconductor,the Fermi energy level lies

In the electrolytic extraction of $Al$,molten cryolite $(Na_3AlF_6)$ is used because it .......

Vedclass Test Series

Exam Paper Generator

Online Exam Module